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Finding the Fourth Proportional to 575.20, 862.16 and 344.40

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Solution

The fourth proportional to 575.20, 862.16 and 344.40 is: 516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.20 : 862.16 = 344.40 : x
  2. Step 2: Convert to fraction form
    575.20/862.16 = 344.40/x
  3. Step 3: Cross multiply
    575.20x = 862.16 × 344.40
  4. Step 4: Simplify right side
    575.20x = 296,927.90
  5. Step 5: Solve for x
    x = 296,927.90/575.20
  6. Step 6: Final answer
    x = 516.22

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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.