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Finding the Fourth Proportional to 509.13, 763.52 and 265.73

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Solution

The fourth proportional to 509.13, 763.52 and 265.73 is: 398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.13 : 763.52 = 265.73 : x
  2. Step 2: Convert to fraction form
    509.13/763.52 = 265.73/x
  3. Step 3: Cross multiply
    509.13x = 763.52 × 265.73
  4. Step 4: Simplify right side
    509.13x = 202,885.02
  5. Step 5: Solve for x
    x = 202,885.02/509.13
  6. Step 6: Final answer
    x = 398.49

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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.