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Finding the Fourth Proportional to 584.14, 806.25 and 374.81

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Solution

The fourth proportional to 584.14, 806.25 and 374.81 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 806.25 = 374.81 : x
  2. Step 2: Convert to fraction form
    584.14/806.25 = 374.81/x
  3. Step 3: Cross multiply
    584.14x = 806.25 × 374.81
  4. Step 4: Simplify right side
    584.14x = 302,188.40
  5. Step 5: Solve for x
    x = 302,188.40/584.14
  6. Step 6: Final answer
    x = 517.32

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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.