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Finding the Fourth Proportional to 645.35, 968.13 and 402.14

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Solution

The fourth proportional to 645.35, 968.13 and 402.14 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.35 : 968.13 = 402.14 : x
  2. Step 2: Convert to fraction form
    645.35/968.13 = 402.14/x
  3. Step 3: Cross multiply
    645.35x = 968.13 × 402.14
  4. Step 4: Simplify right side
    645.35x = 389,323.80
  5. Step 5: Solve for x
    x = 389,323.80/645.35
  6. Step 6: Final answer
    x = 603.28

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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.