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Finding the Fourth Proportional to 424.46, 631.96 and 418.39

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Solution

The fourth proportional to 424.46, 631.96 and 418.39 is: 622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.46 : 631.96 = 418.39 : x
  2. Step 2: Convert to fraction form
    424.46/631.96 = 418.39/x
  3. Step 3: Cross multiply
    424.46x = 631.96 × 418.39
  4. Step 4: Simplify right side
    424.46x = 264,405.74
  5. Step 5: Solve for x
    x = 264,405.74/424.46
  6. Step 6: Final answer
    x = 622.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.