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Finding the Fourth Proportional to 583.39, 875.17 and 193.25

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Solution

The fourth proportional to 583.39, 875.17 and 193.25 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.39 : 875.17 = 193.25 : x
  2. Step 2: Convert to fraction form
    583.39/875.17 = 193.25/x
  3. Step 3: Cross multiply
    583.39x = 875.17 × 193.25
  4. Step 4: Simplify right side
    583.39x = 169,127.94
  5. Step 5: Solve for x
    x = 169,127.94/583.39
  6. Step 6: Final answer
    x = 289.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.