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Finding the Fourth Proportional to 652.41, 978.28 and 374.72

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Solution

The fourth proportional to 652.41, 978.28 and 374.72 is: 561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.41 : 978.28 = 374.72 : x
  2. Step 2: Convert to fraction form
    652.41/978.28 = 374.72/x
  3. Step 3: Cross multiply
    652.41x = 978.28 × 374.72
  4. Step 4: Simplify right side
    652.41x = 366,575.25
  5. Step 5: Solve for x
    x = 366,575.25/652.41
  6. Step 6: Final answer
    x = 561.88

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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.