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Finding the Fourth Proportional to 735.01, 1,102.52 and 296.47

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Solution

The fourth proportional to 735.01, 1,102.52 and 296.47 is: 444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.01 : 1,102.52 = 296.47 : x
  2. Step 2: Convert to fraction form
    735.01/1,102.52 = 296.47/x
  3. Step 3: Cross multiply
    735.01x = 1,102.52 × 296.47
  4. Step 4: Simplify right side
    735.01x = 326,864.10
  5. Step 5: Solve for x
    x = 326,864.10/735.01
  6. Step 6: Final answer
    x = 444.71

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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.