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Finding the Fourth Proportional to 734.25, 1,101.42 and 265.66

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Solution

The fourth proportional to 734.25, 1,101.42 and 265.66 is: 398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.25 : 1,101.42 = 265.66 : x
  2. Step 2: Convert to fraction form
    734.25/1,101.42 = 265.66/x
  3. Step 3: Cross multiply
    734.25x = 1,101.42 × 265.66
  4. Step 4: Simplify right side
    734.25x = 292,603.24
  5. Step 5: Solve for x
    x = 292,603.24/734.25
  6. Step 6: Final answer
    x = 398.51

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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.