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Finding the Fourth Proportional to 734.67, 1,101.84 and 296.25

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Solution

The fourth proportional to 734.67, 1,101.84 and 296.25 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.67 : 1,101.84 = 296.25 : x
  2. Step 2: Convert to fraction form
    734.67/1,101.84 = 296.25/x
  3. Step 3: Cross multiply
    734.67x = 1,101.84 × 296.25
  4. Step 4: Simplify right side
    734.67x = 326,420.10
  5. Step 5: Solve for x
    x = 326,420.10/734.67
  6. Step 6: Final answer
    x = 444.31

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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.