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Finding the Fourth Proportional to 652.67, 979.51 and 242.20

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Solution

The fourth proportional to 652.67, 979.51 and 242.20 is: 363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.67 : 979.51 = 242.20 : x
  2. Step 2: Convert to fraction form
    652.67/979.51 = 242.20/x
  3. Step 3: Cross multiply
    652.67x = 979.51 × 242.20
  4. Step 4: Simplify right side
    652.67x = 237,237.32
  5. Step 5: Solve for x
    x = 237,237.32/652.67
  6. Step 6: Final answer
    x = 363.49

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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.