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Finding the Fourth Proportional to 645.60, 966.12 and 402.24

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Solution

The fourth proportional to 645.60, 966.12 and 402.24 is: 601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 966.12 = 402.24 : x
  2. Step 2: Convert to fraction form
    645.60/966.12 = 402.24/x
  3. Step 3: Cross multiply
    645.60x = 966.12 × 402.24
  4. Step 4: Simplify right side
    645.60x = 388,612.11
  5. Step 5: Solve for x
    x = 388,612.11/645.60
  6. Step 6: Final answer
    x = 601.94

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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.