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Finding the Fourth Proportional to 614.68, 847.83 and 417.85

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Solution

The fourth proportional to 614.68, 847.83 and 417.85 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.68 : 847.83 = 417.85 : x
  2. Step 2: Convert to fraction form
    614.68/847.83 = 417.85/x
  3. Step 3: Cross multiply
    614.68x = 847.83 × 417.85
  4. Step 4: Simplify right side
    614.68x = 354,265.77
  5. Step 5: Solve for x
    x = 354,265.77/614.68
  6. Step 6: Final answer
    x = 576.34

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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.