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Finding the Fourth Proportional to 439.48, 659 and 285.48

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Solution

The fourth proportional to 439.48, 659 and 285.48 is: 428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.48 : 659 = 285.48 : x
  2. Step 2: Convert to fraction form
    439.48/659 = 285.48/x
  3. Step 3: Cross multiply
    439.48x = 659 × 285.48
  4. Step 4: Simplify right side
    439.48x = 188,131.32
  5. Step 5: Solve for x
    x = 188,131.32/439.48
  6. Step 6: Final answer
    x = 428.08

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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.