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Finding the Fourth Proportional to 456.71, 626.13 and 448.50

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Solution

The fourth proportional to 456.71, 626.13 and 448.50 is: 614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.71 : 626.13 = 448.50 : x
  2. Step 2: Convert to fraction form
    456.71/626.13 = 448.50/x
  3. Step 3: Cross multiply
    456.71x = 626.13 × 448.50
  4. Step 4: Simplify right side
    456.71x = 280,819.31
  5. Step 5: Solve for x
    x = 280,819.31/456.71
  6. Step 6: Final answer
    x = 614.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.