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Finding the Fourth Proportional to 652.56, 978.24 and 378.78

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Solution

The fourth proportional to 652.56, 978.24 and 378.78 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 978.24 = 378.78 : x
  2. Step 2: Convert to fraction form
    652.56/978.24 = 378.78/x
  3. Step 3: Cross multiply
    652.56x = 978.24 × 378.78
  4. Step 4: Simplify right side
    652.56x = 370,537.75
  5. Step 5: Solve for x
    x = 370,537.75/652.56
  6. Step 6: Final answer
    x = 567.82

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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.