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Finding the Fourth Proportional to 648.71, 972.11 and 319.55

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Solution

The fourth proportional to 648.71, 972.11 and 319.55 is: 478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.71 : 972.11 = 319.55 : x
  2. Step 2: Convert to fraction form
    648.71/972.11 = 319.55/x
  3. Step 3: Cross multiply
    648.71x = 972.11 × 319.55
  4. Step 4: Simplify right side
    648.71x = 310,631.29
  5. Step 5: Solve for x
    x = 310,631.29/648.71
  6. Step 6: Final answer
    x = 478.85

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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.