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Finding the Fourth Proportional to 452.39, 624.15 and 286.58

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Solution

The fourth proportional to 452.39, 624.15 and 286.58 is: 395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.39 : 624.15 = 286.58 : x
  2. Step 2: Convert to fraction form
    452.39/624.15 = 286.58/x
  3. Step 3: Cross multiply
    452.39x = 624.15 × 286.58
  4. Step 4: Simplify right side
    452.39x = 178,870.47
  5. Step 5: Solve for x
    x = 178,870.47/452.39
  6. Step 6: Final answer
    x = 395.39

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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.