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Finding the Fourth Proportional to 472.42, 708.69 and 418.20

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Solution

The fourth proportional to 472.42, 708.69 and 418.20 is: 627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.42 : 708.69 = 418.20 : x
  2. Step 2: Convert to fraction form
    472.42/708.69 = 418.20/x
  3. Step 3: Cross multiply
    472.42x = 708.69 × 418.20
  4. Step 4: Simplify right side
    472.42x = 296,374.16
  5. Step 5: Solve for x
    x = 296,374.16/472.42
  6. Step 6: Final answer
    x = 627.35

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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.