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Finding the Fourth Proportional to 583.89, 875.69 and 275.95

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Solution

The fourth proportional to 583.89, 875.69 and 275.95 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.89 : 875.69 = 275.95 : x
  2. Step 2: Convert to fraction form
    583.89/875.69 = 275.95/x
  3. Step 3: Cross multiply
    583.89x = 875.69 × 275.95
  4. Step 4: Simplify right side
    583.89x = 241,646.66
  5. Step 5: Solve for x
    x = 241,646.66/583.89
  6. Step 6: Final answer
    x = 413.86

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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.