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Finding the Fourth Proportional to 509.74, 763.40 and 248.92

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Solution

The fourth proportional to 509.74, 763.40 and 248.92 is: 372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 763.40 = 248.92 : x
  2. Step 2: Convert to fraction form
    509.74/763.40 = 248.92/x
  3. Step 3: Cross multiply
    509.74x = 763.40 × 248.92
  4. Step 4: Simplify right side
    509.74x = 190,025.53
  5. Step 5: Solve for x
    x = 190,025.53/509.74
  6. Step 6: Final answer
    x = 372.79

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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.