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Finding the Fourth Proportional to 584.06, 876.36 and 276.14

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Solution

The fourth proportional to 584.06, 876.36 and 276.14 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 876.36 = 276.14 : x
  2. Step 2: Convert to fraction form
    584.06/876.36 = 276.14/x
  3. Step 3: Cross multiply
    584.06x = 876.36 × 276.14
  4. Step 4: Simplify right side
    584.06x = 241,998.05
  5. Step 5: Solve for x
    x = 241,998.05/584.06
  6. Step 6: Final answer
    x = 414.34

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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.