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Finding the Fourth Proportional to 452.52, 624.10 and 286.60

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Solution

The fourth proportional to 452.52, 624.10 and 286.60 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.52 : 624.10 = 286.60 : x
  2. Step 2: Convert to fraction form
    452.52/624.10 = 286.60/x
  3. Step 3: Cross multiply
    452.52x = 624.10 × 286.60
  4. Step 4: Simplify right side
    452.52x = 178,867.06
  5. Step 5: Solve for x
    x = 178,867.06/452.52
  6. Step 6: Final answer
    x = 395.27

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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.