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Finding the Fourth Proportional to 655.47, 903.90 and 434.19

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Solution

The fourth proportional to 655.47, 903.90 and 434.19 is: 598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.47 : 903.90 = 434.19 : x
  2. Step 2: Convert to fraction form
    655.47/903.90 = 434.19/x
  3. Step 3: Cross multiply
    655.47x = 903.90 × 434.19
  4. Step 4: Simplify right side
    655.47x = 392,464.34
  5. Step 5: Solve for x
    x = 392,464.34/655.47
  6. Step 6: Final answer
    x = 598.75

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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.