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Finding the Fourth Proportional to 614.02, 847.29 and 417.70

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Solution

The fourth proportional to 614.02, 847.29 and 417.70 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 847.29 = 417.70 : x
  2. Step 2: Convert to fraction form
    614.02/847.29 = 417.70/x
  3. Step 3: Cross multiply
    614.02x = 847.29 × 417.70
  4. Step 4: Simplify right side
    614.02x = 353,913.03
  5. Step 5: Solve for x
    x = 353,913.03/614.02
  6. Step 6: Final answer
    x = 576.39

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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.