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Finding the Fourth Proportional to 583.82, 875.70 and 194.09

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Solution

The fourth proportional to 583.82, 875.70 and 194.09 is: 291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 875.70 = 194.09 : x
  2. Step 2: Convert to fraction form
    583.82/875.70 = 194.09/x
  3. Step 3: Cross multiply
    583.82x = 875.70 × 194.09
  4. Step 4: Simplify right side
    583.82x = 169,964.61
  5. Step 5: Solve for x
    x = 169,964.61/583.82
  6. Step 6: Final answer
    x = 291.13

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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.