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Finding the Fourth Proportional to 583.92, 875.88 and 275.76

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Solution

The fourth proportional to 583.92, 875.88 and 275.76 is: 413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 875.88 = 275.76 : x
  2. Step 2: Convert to fraction form
    583.92/875.88 = 275.76/x
  3. Step 3: Cross multiply
    583.92x = 875.88 × 275.76
  4. Step 4: Simplify right side
    583.92x = 241,532.67
  5. Step 5: Solve for x
    x = 241,532.67/583.92
  6. Step 6: Final answer
    x = 413.64

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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.