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Finding the Fourth Proportional to 584.15, 876.20 and 325.78

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Solution

The fourth proportional to 584.15, 876.20 and 325.78 is: 488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.15 : 876.20 = 325.78 : x
  2. Step 2: Convert to fraction form
    584.15/876.20 = 325.78/x
  3. Step 3: Cross multiply
    584.15x = 876.20 × 325.78
  4. Step 4: Simplify right side
    584.15x = 285,444.62
  5. Step 5: Solve for x
    x = 285,444.62/584.15
  6. Step 6: Final answer
    x = 488.65

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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.