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Finding the Fourth Proportional to 418.52, 628.05 and 314.30

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Solution

The fourth proportional to 418.52, 628.05 and 314.30 is: 471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 628.05 = 314.30 : x
  2. Step 2: Convert to fraction form
    418.52/628.05 = 314.30/x
  3. Step 3: Cross multiply
    418.52x = 628.05 × 314.30
  4. Step 4: Simplify right side
    418.52x = 197,392.97
  5. Step 5: Solve for x
    x = 197,392.97/418.52
  6. Step 6: Final answer
    x = 471.65

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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.