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Finding the Fourth Proportional to 735.21, 1,102.59 and 302.25

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Solution

The fourth proportional to 735.21, 1,102.59 and 302.25 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.21 : 1,102.59 = 302.25 : x
  2. Step 2: Convert to fraction form
    735.21/1,102.59 = 302.25/x
  3. Step 3: Cross multiply
    735.21x = 1,102.59 × 302.25
  4. Step 4: Simplify right side
    735.21x = 333,257.83
  5. Step 5: Solve for x
    x = 333,257.83/735.21
  6. Step 6: Final answer
    x = 453.28

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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.