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Finding the Fourth Proportional to 464.91, 641.58 and 255.10

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Solution

The fourth proportional to 464.91, 641.58 and 255.10 is: 352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 641.58 = 255.10 : x
  2. Step 2: Convert to fraction form
    464.91/641.58 = 255.10/x
  3. Step 3: Cross multiply
    464.91x = 641.58 × 255.10
  4. Step 4: Simplify right side
    464.91x = 163,666.52
  5. Step 5: Solve for x
    x = 163,666.52/464.91
  6. Step 6: Final answer
    x = 352.04

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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.