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Finding the Fourth Proportional to 584.06, 876.24 and 275.91

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Solution

The fourth proportional to 584.06, 876.24 and 275.91 is: 413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 876.24 = 275.91 : x
  2. Step 2: Convert to fraction form
    584.06/876.24 = 275.91/x
  3. Step 3: Cross multiply
    584.06x = 876.24 × 275.91
  4. Step 4: Simplify right side
    584.06x = 241,760.87
  5. Step 5: Solve for x
    x = 241,760.87/584.06
  6. Step 6: Final answer
    x = 413.93

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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.