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Finding the Fourth Proportional to 402.60, 601.17 and 348.60

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Solution

The fourth proportional to 402.60, 601.17 and 348.60 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.60 : 601.17 = 348.60 : x
  2. Step 2: Convert to fraction form
    402.60/601.17 = 348.60/x
  3. Step 3: Cross multiply
    402.60x = 601.17 × 348.60
  4. Step 4: Simplify right side
    402.60x = 209,567.86
  5. Step 5: Solve for x
    x = 209,567.86/402.60
  6. Step 6: Final answer
    x = 520.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.