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Finding the Fourth Proportional to 583.96, 875.93 and 275.96

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Solution

The fourth proportional to 583.96, 875.93 and 275.96 is: 413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 875.93 = 275.96 : x
  2. Step 2: Convert to fraction form
    583.96/875.93 = 275.96/x
  3. Step 3: Cross multiply
    583.96x = 875.93 × 275.96
  4. Step 4: Simplify right side
    583.96x = 241,715.88
  5. Step 5: Solve for x
    x = 241,715.88/583.96
  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.