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Finding the Fourth Proportional to 462.89, 693.69 and 246.03

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Solution

The fourth proportional to 462.89, 693.69 and 246.03 is: 368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.89 : 693.69 = 246.03 : x
  2. Step 2: Convert to fraction form
    462.89/693.69 = 246.03/x
  3. Step 3: Cross multiply
    462.89x = 693.69 × 246.03
  4. Step 4: Simplify right side
    462.89x = 170,668.55
  5. Step 5: Solve for x
    x = 170,668.55/462.89
  6. Step 6: Final answer
    x = 368.70

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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.