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Finding the Fourth Proportional to 439.78, 659.52 and 317.68

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Solution

The fourth proportional to 439.78, 659.52 and 317.68 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.78 : 659.52 = 317.68 : x
  2. Step 2: Convert to fraction form
    439.78/659.52 = 317.68/x
  3. Step 3: Cross multiply
    439.78x = 659.52 × 317.68
  4. Step 4: Simplify right side
    439.78x = 209,516.31
  5. Step 5: Solve for x
    x = 209,516.31/439.78
  6. Step 6: Final answer
    x = 476.41

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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.