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Finding the Fourth Proportional to 509.56, 763.62 and 242.14

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Solution

The fourth proportional to 509.56, 763.62 and 242.14 is: 362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 763.62 = 242.14 : x
  2. Step 2: Convert to fraction form
    509.56/763.62 = 242.14/x
  3. Step 3: Cross multiply
    509.56x = 763.62 × 242.14
  4. Step 4: Simplify right side
    509.56x = 184,902.95
  5. Step 5: Solve for x
    x = 184,902.95/509.56
  6. Step 6: Final answer
    x = 362.87

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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.