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Finding the Fourth Proportional to 285.31, 424.98 and 281.53

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Solution

The fourth proportional to 285.31, 424.98 and 281.53 is: 419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.31 : 424.98 = 281.53 : x
  2. Step 2: Convert to fraction form
    285.31/424.98 = 281.53/x
  3. Step 3: Cross multiply
    285.31x = 424.98 × 281.53
  4. Step 4: Simplify right side
    285.31x = 119,644.62
  5. Step 5: Solve for x
    x = 119,644.62/285.31
  6. Step 6: Final answer
    x = 419.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.