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Finding the Fourth Proportional to 452.12, 624.04 and 286.26

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Solution

The fourth proportional to 452.12, 624.04 and 286.26 is: 395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 624.04 = 286.26 : x
  2. Step 2: Convert to fraction form
    452.12/624.04 = 286.26/x
  3. Step 3: Cross multiply
    452.12x = 624.04 × 286.26
  4. Step 4: Simplify right side
    452.12x = 178,637.69
  5. Step 5: Solve for x
    x = 178,637.69/452.12
  6. Step 6: Final answer
    x = 395.11

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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.