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Finding the Fourth Proportional to 652.32, 979.08 and 408.12

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Solution

The fourth proportional to 652.32, 979.08 and 408.12 is: 612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 979.08 = 408.12 : x
  2. Step 2: Convert to fraction form
    652.32/979.08 = 408.12/x
  3. Step 3: Cross multiply
    652.32x = 979.08 × 408.12
  4. Step 4: Simplify right side
    652.32x = 399,582.13
  5. Step 5: Solve for x
    x = 399,582.13/652.32
  6. Step 6: Final answer
    x = 612.56

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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.