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Finding the Fourth Proportional to 734.67, 1,102.25 and 296.13

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Solution

The fourth proportional to 734.67, 1,102.25 and 296.13 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.67 : 1,102.25 = 296.13 : x
  2. Step 2: Convert to fraction form
    734.67/1,102.25 = 296.13/x
  3. Step 3: Cross multiply
    734.67x = 1,102.25 × 296.13
  4. Step 4: Simplify right side
    734.67x = 326,409.29
  5. Step 5: Solve for x
    x = 326,409.29/734.67
  6. Step 6: Final answer
    x = 444.29

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Why These Related Problems?

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