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Finding the Fourth Proportional to 591.64, 816.30 and 370.48

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Solution

The fourth proportional to 591.64, 816.30 and 370.48 is: 511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.64 : 816.30 = 370.48 : x
  2. Step 2: Convert to fraction form
    591.64/816.30 = 370.48/x
  3. Step 3: Cross multiply
    591.64x = 816.30 × 370.48
  4. Step 4: Simplify right side
    591.64x = 302,422.82
  5. Step 5: Solve for x
    x = 302,422.82/591.64
  6. Step 6: Final answer
    x = 511.16

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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.