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Finding the Fourth Proportional to 439.68, 659.52 and 378.96

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Solution

The fourth proportional to 439.68, 659.52 and 378.96 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.68 : 659.52 = 378.96 : x
  2. Step 2: Convert to fraction form
    439.68/659.52 = 378.96/x
  3. Step 3: Cross multiply
    439.68x = 659.52 × 378.96
  4. Step 4: Simplify right side
    439.68x = 249,931.70
  5. Step 5: Solve for x
    x = 249,931.70/439.68
  6. Step 6: Final answer
    x = 568.44

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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.