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Finding the Fourth Proportional to 452.46, 624.05 and 312.81

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Solution

The fourth proportional to 452.46, 624.05 and 312.81 is: 431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.46 : 624.05 = 312.81 : x
  2. Step 2: Convert to fraction form
    452.46/624.05 = 312.81/x
  3. Step 3: Cross multiply
    452.46x = 624.05 × 312.81
  4. Step 4: Simplify right side
    452.46x = 195,211.62
  5. Step 5: Solve for x
    x = 195,211.62/452.46
  6. Step 6: Final answer
    x = 431.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.