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Finding the Fourth Proportional to 461.96, 693.02 and 245.80

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Solution

The fourth proportional to 461.96, 693.02 and 245.80 is: 368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 693.02 = 245.80 : x
  2. Step 2: Convert to fraction form
    461.96/693.02 = 245.80/x
  3. Step 3: Cross multiply
    461.96x = 693.02 × 245.80
  4. Step 4: Simplify right side
    461.96x = 170,344.32
  5. Step 5: Solve for x
    x = 170,344.32/461.96
  6. Step 6: Final answer
    x = 368.74

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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.