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Finding the Fourth Proportional to 735.16, 1,102.62 and 302.20

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Solution

The fourth proportional to 735.16, 1,102.62 and 302.20 is: 453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.16 : 1,102.62 = 302.20 : x
  2. Step 2: Convert to fraction form
    735.16/1,102.62 = 302.20/x
  3. Step 3: Cross multiply
    735.16x = 1,102.62 × 302.20
  4. Step 4: Simplify right side
    735.16x = 333,211.76
  5. Step 5: Solve for x
    x = 333,211.76/735.16
  6. Step 6: Final answer
    x = 453.25

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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.