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Finding the Fourth Proportional to 584.26, 875.90 and 275.94

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Solution

The fourth proportional to 584.26, 875.90 and 275.94 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 875.90 = 275.94 : x
  2. Step 2: Convert to fraction form
    584.26/875.90 = 275.94/x
  3. Step 3: Cross multiply
    584.26x = 875.90 × 275.94
  4. Step 4: Simplify right side
    584.26x = 241,696.66
  5. Step 5: Solve for x
    x = 241,696.66/584.26
  6. Step 6: Final answer
    x = 413.68

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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.