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Finding the Fourth Proportional to 652.77, 979.43 and 242.15

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Solution

The fourth proportional to 652.77, 979.43 and 242.15 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 979.43 = 242.15 : x
  2. Step 2: Convert to fraction form
    652.77/979.43 = 242.15/x
  3. Step 3: Cross multiply
    652.77x = 979.43 × 242.15
  4. Step 4: Simplify right side
    652.77x = 237,162.87
  5. Step 5: Solve for x
    x = 237,162.87/652.77
  6. Step 6: Final answer
    x = 363.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.