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Finding the Fourth Proportional to 462.96, 693.63 and 246.29

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Solution

The fourth proportional to 462.96, 693.63 and 246.29 is: 369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 693.63 = 246.29 : x
  2. Step 2: Convert to fraction form
    462.96/693.63 = 246.29/x
  3. Step 3: Cross multiply
    462.96x = 693.63 × 246.29
  4. Step 4: Simplify right side
    462.96x = 170,830.66
  5. Step 5: Solve for x
    x = 170,830.66/462.96
  6. Step 6: Final answer
    x = 369.00

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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.