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Finding the Fourth Proportional to 452.64, 624.56 and 286.88

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Solution

The fourth proportional to 452.64, 624.56 and 286.88 is: 395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 624.56 = 286.88 : x
  2. Step 2: Convert to fraction form
    452.64/624.56 = 286.88/x
  3. Step 3: Cross multiply
    452.64x = 624.56 × 286.88
  4. Step 4: Simplify right side
    452.64x = 179,173.77
  5. Step 5: Solve for x
    x = 179,173.77/452.64
  6. Step 6: Final answer
    x = 395.84

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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.