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Finding the Fourth Proportional to 424.14, 585.12 and 264.73

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Solution

The fourth proportional to 424.14, 585.12 and 264.73 is: 365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 585.12 = 264.73 : x
  2. Step 2: Convert to fraction form
    424.14/585.12 = 264.73/x
  3. Step 3: Cross multiply
    424.14x = 585.12 × 264.73
  4. Step 4: Simplify right side
    424.14x = 154,897.35
  5. Step 5: Solve for x
    x = 154,897.35/424.14
  6. Step 6: Final answer
    x = 365.20

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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.