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Finding the Fourth Proportional to 509.52, 763.98 and 216.94

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Solution

The fourth proportional to 509.52, 763.98 and 216.94 is: 325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 763.98 = 216.94 : x
  2. Step 2: Convert to fraction form
    509.52/763.98 = 216.94/x
  3. Step 3: Cross multiply
    509.52x = 763.98 × 216.94
  4. Step 4: Simplify right side
    509.52x = 165,737.82
  5. Step 5: Solve for x
    x = 165,737.82/509.52
  6. Step 6: Final answer
    x = 325.28

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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.