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Finding the Fourth Proportional to 452.39, 624.41 and 256.02

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Solution

The fourth proportional to 452.39, 624.41 and 256.02 is: 353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.39 : 624.41 = 256.02 : x
  2. Step 2: Convert to fraction form
    452.39/624.41 = 256.02/x
  3. Step 3: Cross multiply
    452.39x = 624.41 × 256.02
  4. Step 4: Simplify right side
    452.39x = 159,860.23
  5. Step 5: Solve for x
    x = 159,860.23/452.39
  6. Step 6: Final answer
    x = 353.37

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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.