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Finding the Fourth Proportional to 584.01, 875.39 and 275.60

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Solution

The fourth proportional to 584.01, 875.39 and 275.60 is: 413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 875.39 = 275.60 : x
  2. Step 2: Convert to fraction form
    584.01/875.39 = 275.60/x
  3. Step 3: Cross multiply
    584.01x = 875.39 × 275.60
  4. Step 4: Simplify right side
    584.01x = 241,257.48
  5. Step 5: Solve for x
    x = 241,257.48/584.01
  6. Step 6: Final answer
    x = 413.11

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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.