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Finding the Fourth Proportional to 465.85, 642.89 and 256.05

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Solution

The fourth proportional to 465.85, 642.89 and 256.05 is: 353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.85 : 642.89 = 256.05 : x
  2. Step 2: Convert to fraction form
    465.85/642.89 = 256.05/x
  3. Step 3: Cross multiply
    465.85x = 642.89 × 256.05
  4. Step 4: Simplify right side
    465.85x = 164,609.74
  5. Step 5: Solve for x
    x = 164,609.74/465.85
  6. Step 6: Final answer
    x = 353.36

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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.