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Finding the Fourth Proportional to 734.23, 1,101.52 and 240.66

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Solution

The fourth proportional to 734.23, 1,101.52 and 240.66 is: 361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.23 : 1,101.52 = 240.66 : x
  2. Step 2: Convert to fraction form
    734.23/1,101.52 = 240.66/x
  3. Step 3: Cross multiply
    734.23x = 1,101.52 × 240.66
  4. Step 4: Simplify right side
    734.23x = 265,090.60
  5. Step 5: Solve for x
    x = 265,090.60/734.23
  6. Step 6: Final answer
    x = 361.05

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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.