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Finding the Fourth Proportional to 424.87, 586.00 and 285.14

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Solution

The fourth proportional to 424.87, 586.00 and 285.14 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.87 : 586.00 = 285.14 : x
  2. Step 2: Convert to fraction form
    424.87/586.00 = 285.14/x
  3. Step 3: Cross multiply
    424.87x = 586.00 × 285.14
  4. Step 4: Simplify right side
    424.87x = 167,092.79
  5. Step 5: Solve for x
    x = 167,092.79/424.87
  6. Step 6: Final answer
    x = 393.28

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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.