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Finding the Fourth Proportional to 465.65, 642.65 and 263.80

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Solution

The fourth proportional to 465.65, 642.65 and 263.80 is: 364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.65 : 642.65 = 263.80 : x
  2. Step 2: Convert to fraction form
    465.65/642.65 = 263.80/x
  3. Step 3: Cross multiply
    465.65x = 642.65 × 263.80
  4. Step 4: Simplify right side
    465.65x = 169,531.07
  5. Step 5: Solve for x
    x = 169,531.07/465.65
  6. Step 6: Final answer
    x = 364.07

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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.