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Finding the Fourth Proportional to 410.58, 616.08 and 194.22

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Solution

The fourth proportional to 410.58, 616.08 and 194.22 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 616.08 = 194.22 : x
  2. Step 2: Convert to fraction form
    410.58/616.08 = 194.22/x
  3. Step 3: Cross multiply
    410.58x = 616.08 × 194.22
  4. Step 4: Simplify right side
    410.58x = 119,655.06
  5. Step 5: Solve for x
    x = 119,655.06/410.58
  6. Step 6: Final answer
    x = 291.43

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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.