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Finding the Fourth Proportional to 655.52, 904.16 and 434.40

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Solution

The fourth proportional to 655.52, 904.16 and 434.40 is: 599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.52 : 904.16 = 434.40 : x
  2. Step 2: Convert to fraction form
    655.52/904.16 = 434.40/x
  3. Step 3: Cross multiply
    655.52x = 904.16 × 434.40
  4. Step 4: Simplify right side
    655.52x = 392,767.10
  5. Step 5: Solve for x
    x = 392,767.10/655.52
  6. Step 6: Final answer
    x = 599.17

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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.