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Finding the Fourth Proportional to 424.85, 586.10 and 267.35

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Solution

The fourth proportional to 424.85, 586.10 and 267.35 is: 368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.85 : 586.10 = 267.35 : x
  2. Step 2: Convert to fraction form
    424.85/586.10 = 267.35/x
  3. Step 3: Cross multiply
    424.85x = 586.10 × 267.35
  4. Step 4: Simplify right side
    424.85x = 156,694.87
  5. Step 5: Solve for x
    x = 156,694.87/424.85
  6. Step 6: Final answer
    x = 368.83

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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.