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Finding the Fourth Proportional to 584.50, 876.39 and 276.43

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Solution

The fourth proportional to 584.50, 876.39 and 276.43 is: 414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 876.39 = 276.43 : x
  2. Step 2: Convert to fraction form
    584.50/876.39 = 276.43/x
  3. Step 3: Cross multiply
    584.50x = 876.39 × 276.43
  4. Step 4: Simplify right side
    584.50x = 242,260.49
  5. Step 5: Solve for x
    x = 242,260.49/584.50
  6. Step 6: Final answer
    x = 414.47

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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.