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Finding the Fourth Proportional to 460.12, 689.56 and 243.85

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Solution

The fourth proportional to 460.12, 689.56 and 243.85 is: 365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.12 : 689.56 = 243.85 : x
  2. Step 2: Convert to fraction form
    460.12/689.56 = 243.85/x
  3. Step 3: Cross multiply
    460.12x = 689.56 × 243.85
  4. Step 4: Simplify right side
    460.12x = 168,149.21
  5. Step 5: Solve for x
    x = 168,149.21/460.12
  6. Step 6: Final answer
    x = 365.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.