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Finding the Fourth Proportional to 452.32, 623.96 and 286.46

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Solution

The fourth proportional to 452.32, 623.96 and 286.46 is: 395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 623.96 = 286.46 : x
  2. Step 2: Convert to fraction form
    452.32/623.96 = 286.46/x
  3. Step 3: Cross multiply
    452.32x = 623.96 × 286.46
  4. Step 4: Simplify right side
    452.32x = 178,739.58
  5. Step 5: Solve for x
    x = 178,739.58/452.32
  6. Step 6: Final answer
    x = 395.16

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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.