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Finding the Fourth Proportional to 452.70, 679.32 and 308.52

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Solution

The fourth proportional to 452.70, 679.32 and 308.52 is: 462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.70 : 679.32 = 308.52 : x
  2. Step 2: Convert to fraction form
    452.70/679.32 = 308.52/x
  3. Step 3: Cross multiply
    452.70x = 679.32 × 308.52
  4. Step 4: Simplify right side
    452.70x = 209,583.81
  5. Step 5: Solve for x
    x = 209,583.81/452.70
  6. Step 6: Final answer
    x = 462.96

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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.