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Finding the Fourth Proportional to 652.16, 978.24 and 363.44

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Solution

The fourth proportional to 652.16, 978.24 and 363.44 is: 545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 978.24 = 363.44 : x
  2. Step 2: Convert to fraction form
    652.16/978.24 = 363.44/x
  3. Step 3: Cross multiply
    652.16x = 978.24 × 363.44
  4. Step 4: Simplify right side
    652.16x = 355,531.55
  5. Step 5: Solve for x
    x = 355,531.55/652.16
  6. Step 6: Final answer
    x = 545.16

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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.