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Finding the Fourth Proportional to 439.32, 659.24 and 394.50

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Solution

The fourth proportional to 439.32, 659.24 and 394.50 is: 591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.32 : 659.24 = 394.50 : x
  2. Step 2: Convert to fraction form
    439.32/659.24 = 394.50/x
  3. Step 3: Cross multiply
    439.32x = 659.24 × 394.50
  4. Step 4: Simplify right side
    439.32x = 260,070.18
  5. Step 5: Solve for x
    x = 260,070.18/439.32
  6. Step 6: Final answer
    x = 591.98

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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.