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Finding the Fourth Proportional to 425.30, 637.97 and 402.26

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Solution

The fourth proportional to 425.30, 637.97 and 402.26 is: 603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.30 : 637.97 = 402.26 : x
  2. Step 2: Convert to fraction form
    425.30/637.97 = 402.26/x
  3. Step 3: Cross multiply
    425.30x = 637.97 × 402.26
  4. Step 4: Simplify right side
    425.30x = 256,624.61
  5. Step 5: Solve for x
    x = 256,624.61/425.30
  6. Step 6: Final answer
    x = 603.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.