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Finding the Fourth Proportional to 439.29, 657.62 and 284.77

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Solution

The fourth proportional to 439.29, 657.62 and 284.77 is: 426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.29 : 657.62 = 284.77 : x
  2. Step 2: Convert to fraction form
    439.29/657.62 = 284.77/x
  3. Step 3: Cross multiply
    439.29x = 657.62 × 284.77
  4. Step 4: Simplify right side
    439.29x = 187,270.45
  5. Step 5: Solve for x
    x = 187,270.45/439.29
  6. Step 6: Final answer
    x = 426.30

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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.