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Finding the Fourth Proportional to 652.80, 978.16 and 344.64

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Solution

The fourth proportional to 652.80, 978.16 and 344.64 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.80 : 978.16 = 344.64 : x
  2. Step 2: Convert to fraction form
    652.80/978.16 = 344.64/x
  3. Step 3: Cross multiply
    652.80x = 978.16 × 344.64
  4. Step 4: Simplify right side
    652.80x = 337,113.06
  5. Step 5: Solve for x
    x = 337,113.06/652.80
  6. Step 6: Final answer
    x = 516.41

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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.