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Finding the Fourth Proportional to 439.68, 658.62 and 256.98

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Solution

The fourth proportional to 439.68, 658.62 and 256.98 is: 384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.68 : 658.62 = 256.98 : x
  2. Step 2: Convert to fraction form
    439.68/658.62 = 256.98/x
  3. Step 3: Cross multiply
    439.68x = 658.62 × 256.98
  4. Step 4: Simplify right side
    439.68x = 169,252.17
  5. Step 5: Solve for x
    x = 169,252.17/439.68
  6. Step 6: Final answer
    x = 384.94

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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.