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Finding the Fourth Proportional to 452.32, 624.31 and 286.74

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Solution

The fourth proportional to 452.32, 624.31 and 286.74 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 624.31 = 286.74 : x
  2. Step 2: Convert to fraction form
    452.32/624.31 = 286.74/x
  3. Step 3: Cross multiply
    452.32x = 624.31 × 286.74
  4. Step 4: Simplify right side
    452.32x = 179,013.93
  5. Step 5: Solve for x
    x = 179,013.93/452.32
  6. Step 6: Final answer
    x = 395.77

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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.