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Finding the Fourth Proportional to 452.56, 624.47 and 256.03

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Solution

The fourth proportional to 452.56, 624.47 and 256.03 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.56 : 624.47 = 256.03 : x
  2. Step 2: Convert to fraction form
    452.56/624.47 = 256.03/x
  3. Step 3: Cross multiply
    452.56x = 624.47 × 256.03
  4. Step 4: Simplify right side
    452.56x = 159,878.65
  5. Step 5: Solve for x
    x = 159,878.65/452.56
  6. Step 6: Final answer
    x = 353.28

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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.