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Finding the Fourth Proportional to 424.59, 586.14 and 284.66

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Solution

The fourth proportional to 424.59, 586.14 and 284.66 is: 392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.59 : 586.14 = 284.66 : x
  2. Step 2: Convert to fraction form
    424.59/586.14 = 284.66/x
  3. Step 3: Cross multiply
    424.59x = 586.14 × 284.66
  4. Step 4: Simplify right side
    424.59x = 166,852.11
  5. Step 5: Solve for x
    x = 166,852.11/424.59
  6. Step 6: Final answer
    x = 392.97

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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.