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Finding the Fourth Proportional to 619.33, 928.08 and 584.70

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Solution

The fourth proportional to 619.33, 928.08 and 584.70 is: 876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.33 : 928.08 = 584.70 : x
  2. Step 2: Convert to fraction form
    619.33/928.08 = 584.70/x
  3. Step 3: Cross multiply
    619.33x = 928.08 × 584.70
  4. Step 4: Simplify right side
    619.33x = 542,648.38
  5. Step 5: Solve for x
    x = 542,648.38/619.33
  6. Step 6: Final answer
    x = 876.19

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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.