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Finding the Fourth Proportional to 735.10, 1,102.56 and 302.16

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Solution

The fourth proportional to 735.10, 1,102.56 and 302.16 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,102.56 = 302.16 : x
  2. Step 2: Convert to fraction form
    735.10/1,102.56 = 302.16/x
  3. Step 3: Cross multiply
    735.10x = 1,102.56 × 302.16
  4. Step 4: Simplify right side
    735.10x = 333,149.53
  5. Step 5: Solve for x
    x = 333,149.53/735.10
  6. Step 6: Final answer
    x = 453.20

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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.