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Finding the Fourth Proportional to 353.68, 529.87 and 296.28

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Solution

The fourth proportional to 353.68, 529.87 and 296.28 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 529.87 = 296.28 : x
  2. Step 2: Convert to fraction form
    353.68/529.87 = 296.28/x
  3. Step 3: Cross multiply
    353.68x = 529.87 × 296.28
  4. Step 4: Simplify right side
    353.68x = 156,985.75
  5. Step 5: Solve for x
    x = 156,985.75/353.68
  6. Step 6: Final answer
    x = 443.86

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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.