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Finding the Fourth Proportional to 735.30, 1,102.17 and 369.72

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Solution

The fourth proportional to 735.30, 1,102.17 and 369.72 is: 554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.30 : 1,102.17 = 369.72 : x
  2. Step 2: Convert to fraction form
    735.30/1,102.17 = 369.72/x
  3. Step 3: Cross multiply
    735.30x = 1,102.17 × 369.72
  4. Step 4: Simplify right side
    735.30x = 407,494.29
  5. Step 5: Solve for x
    x = 407,494.29/735.30
  6. Step 6: Final answer
    x = 554.19

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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.