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Finding the Fourth Proportional to 465.91, 642.93 and 256.05

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Solution

The fourth proportional to 465.91, 642.93 and 256.05 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.91 : 642.93 = 256.05 : x
  2. Step 2: Convert to fraction form
    465.91/642.93 = 256.05/x
  3. Step 3: Cross multiply
    465.91x = 642.93 × 256.05
  4. Step 4: Simplify right side
    465.91x = 164,620.95
  5. Step 5: Solve for x
    x = 164,620.95/465.91
  6. Step 6: Final answer
    x = 353.33

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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.