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Finding the Fourth Proportional to 509.07, 763.76 and 265.77

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Solution

The fourth proportional to 509.07, 763.76 and 265.77 is: 398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 763.76 = 265.77 : x
  2. Step 2: Convert to fraction form
    509.07/763.76 = 265.77/x
  3. Step 3: Cross multiply
    509.07x = 763.76 × 265.77
  4. Step 4: Simplify right side
    509.07x = 202,983.17
  5. Step 5: Solve for x
    x = 202,983.17/509.07
  6. Step 6: Final answer
    x = 398.73

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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.