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Finding the Fourth Proportional to 517.52, 775.72 and 209.32

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Solution

The fourth proportional to 517.52, 775.72 and 209.32 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 775.72 = 209.32 : x
  2. Step 2: Convert to fraction form
    517.52/775.72 = 209.32/x
  3. Step 3: Cross multiply
    517.52x = 775.72 × 209.32
  4. Step 4: Simplify right side
    517.52x = 162,373.71
  5. Step 5: Solve for x
    x = 162,373.71/517.52
  6. Step 6: Final answer
    x = 313.75

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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.