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Finding the Fourth Proportional to 591.67, 816.08 and 370.75

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Solution

The fourth proportional to 591.67, 816.08 and 370.75 is: 511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.67 : 816.08 = 370.75 : x
  2. Step 2: Convert to fraction form
    591.67/816.08 = 370.75/x
  3. Step 3: Cross multiply
    591.67x = 816.08 × 370.75
  4. Step 4: Simplify right side
    591.67x = 302,561.66
  5. Step 5: Solve for x
    x = 302,561.66/591.67
  6. Step 6: Final answer
    x = 511.37

Related Problems

Find fourth proportional to 295.84, 408.04 and 185.38
Half scale
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Double scale
Find fourth proportional to 592.67, 817.46 and 371.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.