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Finding the Fourth Proportional to 465.88, 642.91 and 263.99

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Solution

The fourth proportional to 465.88, 642.91 and 263.99 is: 364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.88 : 642.91 = 263.99 : x
  2. Step 2: Convert to fraction form
    465.88/642.91 = 263.99/x
  3. Step 3: Cross multiply
    465.88x = 642.91 × 263.99
  4. Step 4: Simplify right side
    465.88x = 169,723.75
  5. Step 5: Solve for x
    x = 169,723.75/465.88
  6. Step 6: Final answer
    x = 364.31

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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.