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Finding the Fourth Proportional to 452.06, 623.61 and 286.21

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Solution

The fourth proportional to 452.06, 623.61 and 286.21 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 623.61 = 286.21 : x
  2. Step 2: Convert to fraction form
    452.06/623.61 = 286.21/x
  3. Step 3: Cross multiply
    452.06x = 623.61 × 286.21
  4. Step 4: Simplify right side
    452.06x = 178,481.86
  5. Step 5: Solve for x
    x = 178,481.86/452.06
  6. Step 6: Final answer
    x = 394.82

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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.