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Finding the Fourth Proportional to 508.65, 763.31 and 200.46

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Solution

The fourth proportional to 508.65, 763.31 and 200.46 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.65 : 763.31 = 200.46 : x
  2. Step 2: Convert to fraction form
    508.65/763.31 = 200.46/x
  3. Step 3: Cross multiply
    508.65x = 763.31 × 200.46
  4. Step 4: Simplify right side
    508.65x = 153,013.12
  5. Step 5: Solve for x
    x = 153,013.12/508.65
  6. Step 6: Final answer
    x = 300.82

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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.