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Finding the Fourth Proportional to 614.70, 847.71 and 474.59

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Solution

The fourth proportional to 614.70, 847.71 and 474.59 is: 654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 847.71 = 474.59 : x
  2. Step 2: Convert to fraction form
    614.70/847.71 = 474.59/x
  3. Step 3: Cross multiply
    614.70x = 847.71 × 474.59
  4. Step 4: Simplify right side
    614.70x = 402,314.69
  5. Step 5: Solve for x
    x = 402,314.69/614.70
  6. Step 6: Final answer
    x = 654.49

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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.