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Finding the Fourth Proportional to 584.70, 876.90 and 276.69

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Solution

The fourth proportional to 584.70, 876.90 and 276.69 is: 414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 876.90 = 276.69 : x
  2. Step 2: Convert to fraction form
    584.70/876.90 = 276.69/x
  3. Step 3: Cross multiply
    584.70x = 876.90 × 276.69
  4. Step 4: Simplify right side
    584.70x = 242,629.46
  5. Step 5: Solve for x
    x = 242,629.46/584.70
  6. Step 6: Final answer
    x = 414.96

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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.