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Finding the Fourth Proportional to 424.30, 585.54 and 284.20

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Solution

The fourth proportional to 424.30, 585.54 and 284.20 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.30 : 585.54 = 284.20 : x
  2. Step 2: Convert to fraction form
    424.30/585.54 = 284.20/x
  3. Step 3: Cross multiply
    424.30x = 585.54 × 284.20
  4. Step 4: Simplify right side
    424.30x = 166,406.78
  5. Step 5: Solve for x
    x = 166,406.78/424.30
  6. Step 6: Final answer
    x = 392.19

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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.