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Finding the Fourth Proportional to 630.16, 944.32 and 456.42

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Solution

The fourth proportional to 630.16, 944.32 and 456.42 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.16 : 944.32 = 456.42 : x
  2. Step 2: Convert to fraction form
    630.16/944.32 = 456.42/x
  3. Step 3: Cross multiply
    630.16x = 944.32 × 456.42
  4. Step 4: Simplify right side
    630.16x = 431,006.53
  5. Step 5: Solve for x
    x = 431,006.53/630.16
  6. Step 6: Final answer
    x = 683.96

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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.