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Finding the Fourth Proportional to 619.29, 927.86 and 362.25

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Solution

The fourth proportional to 619.29, 927.86 and 362.25 is: 542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.29 : 927.86 = 362.25 : x
  2. Step 2: Convert to fraction form
    619.29/927.86 = 362.25/x
  3. Step 3: Cross multiply
    619.29x = 927.86 × 362.25
  4. Step 4: Simplify right side
    619.29x = 336,115.47
  5. Step 5: Solve for x
    x = 336,115.47/619.29
  6. Step 6: Final answer
    x = 542.74

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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.