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Finding the Fourth Proportional to 583.75, 875.76 and 199

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Solution

The fourth proportional to 583.75, 875.76 and 199 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.75 : 875.76 = 199 : x
  2. Step 2: Convert to fraction form
    583.75/875.76 = 199/x
  3. Step 3: Cross multiply
    583.75x = 875.76 × 199
  4. Step 4: Simplify right side
    583.75x = 174,276.24
  5. Step 5: Solve for x
    x = 174,276.24/583.75
  6. Step 6: Final answer
    x = 298.55

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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.