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Finding the Fourth Proportional to 652.08, 978.36 and 343.74

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Solution

The fourth proportional to 652.08, 978.36 and 343.74 is: 515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 978.36 = 343.74 : x
  2. Step 2: Convert to fraction form
    652.08/978.36 = 343.74/x
  3. Step 3: Cross multiply
    652.08x = 978.36 × 343.74
  4. Step 4: Simplify right side
    652.08x = 336,301.47
  5. Step 5: Solve for x
    x = 336,301.47/652.08
  6. Step 6: Final answer
    x = 515.74

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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.