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Finding the Fourth Proportional to 282.72, 424.20 and 257.08

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Solution

The fourth proportional to 282.72, 424.20 and 257.08 is: 385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.72 : 424.20 = 257.08 : x
  2. Step 2: Convert to fraction form
    282.72/424.20 = 257.08/x
  3. Step 3: Cross multiply
    282.72x = 424.20 × 257.08
  4. Step 4: Simplify right side
    282.72x = 109,053.34
  5. Step 5: Solve for x
    x = 109,053.34/282.72
  6. Step 6: Final answer
    x = 385.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.