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Finding the Fourth Proportional to 509.65, 763.26 and 292.57

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Solution

The fourth proportional to 509.65, 763.26 and 292.57 is: 438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.65 : 763.26 = 292.57 : x
  2. Step 2: Convert to fraction form
    509.65/763.26 = 292.57/x
  3. Step 3: Cross multiply
    509.65x = 763.26 × 292.57
  4. Step 4: Simplify right side
    509.65x = 223,306.98
  5. Step 5: Solve for x
    x = 223,306.98/509.65
  6. Step 6: Final answer
    x = 438.16

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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.