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Finding the Fourth Proportional to 509.15, 763.14 and 234.66

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Solution

The fourth proportional to 509.15, 763.14 and 234.66 is: 351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.15 : 763.14 = 234.66 : x
  2. Step 2: Convert to fraction form
    509.15/763.14 = 234.66/x
  3. Step 3: Cross multiply
    509.15x = 763.14 × 234.66
  4. Step 4: Simplify right side
    509.15x = 179,077.55
  5. Step 5: Solve for x
    x = 179,077.55/509.15
  6. Step 6: Final answer
    x = 351.72

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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.