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Finding the Fourth Proportional to 424.24, 585.36 and 284.20

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Solution

The fourth proportional to 424.24, 585.36 and 284.20 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.24 : 585.36 = 284.20 : x
  2. Step 2: Convert to fraction form
    424.24/585.36 = 284.20/x
  3. Step 3: Cross multiply
    424.24x = 585.36 × 284.20
  4. Step 4: Simplify right side
    424.24x = 166,359.31
  5. Step 5: Solve for x
    x = 166,359.31/424.24
  6. Step 6: Final answer
    x = 392.13

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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.