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Finding the Fourth Proportional to 462.56, 693.12 and 246.08

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Solution

The fourth proportional to 462.56, 693.12 and 246.08 is: 368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 693.12 = 246.08 : x
  2. Step 2: Convert to fraction form
    462.56/693.12 = 246.08/x
  3. Step 3: Cross multiply
    462.56x = 693.12 × 246.08
  4. Step 4: Simplify right side
    462.56x = 170,562.97
  5. Step 5: Solve for x
    x = 170,562.97/462.56
  6. Step 6: Final answer
    x = 368.74

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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.