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Finding the Fourth Proportional to 509.49, 763.76 and 304.11

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Solution

The fourth proportional to 509.49, 763.76 and 304.11 is: 455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 763.76 = 304.11 : x
  2. Step 2: Convert to fraction form
    509.49/763.76 = 304.11/x
  3. Step 3: Cross multiply
    509.49x = 763.76 × 304.11
  4. Step 4: Simplify right side
    509.49x = 232,265.53
  5. Step 5: Solve for x
    x = 232,265.53/509.49
  6. Step 6: Final answer
    x = 455.88

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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.