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Finding the Fourth Proportional to 614.89, 847.97 and 457.90

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Solution

The fourth proportional to 614.89, 847.97 and 457.90 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.89 : 847.97 = 457.90 : x
  2. Step 2: Convert to fraction form
    614.89/847.97 = 457.90/x
  3. Step 3: Cross multiply
    614.89x = 847.97 × 457.90
  4. Step 4: Simplify right side
    614.89x = 388,287.54
  5. Step 5: Solve for x
    x = 388,287.54/614.89
  6. Step 6: Final answer
    x = 631.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.