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Finding the Fourth Proportional to 464.56, 641.10 and 278.24

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Solution

The fourth proportional to 464.56, 641.10 and 278.24 is: 383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.56 : 641.10 = 278.24 : x
  2. Step 2: Convert to fraction form
    464.56/641.10 = 278.24/x
  3. Step 3: Cross multiply
    464.56x = 641.10 × 278.24
  4. Step 4: Simplify right side
    464.56x = 178,379.66
  5. Step 5: Solve for x
    x = 178,379.66/464.56
  6. Step 6: Final answer
    x = 383.98

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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.