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Finding the Fourth Proportional to 424.70, 585.91 and 267.23

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Solution

The fourth proportional to 424.70, 585.91 and 267.23 is: 368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.70 : 585.91 = 267.23 : x
  2. Step 2: Convert to fraction form
    424.70/585.91 = 267.23/x
  3. Step 3: Cross multiply
    424.70x = 585.91 × 267.23
  4. Step 4: Simplify right side
    424.70x = 156,569.13
  5. Step 5: Solve for x
    x = 156,569.13/424.70
  6. Step 6: Final answer
    x = 368.66

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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.