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Finding the Fourth Proportional to 465.68, 642.32 and 306.08

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Solution

The fourth proportional to 465.68, 642.32 and 306.08 is: 422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 642.32 = 306.08 : x
  2. Step 2: Convert to fraction form
    465.68/642.32 = 306.08/x
  3. Step 3: Cross multiply
    465.68x = 642.32 × 306.08
  4. Step 4: Simplify right side
    465.68x = 196,601.31
  5. Step 5: Solve for x
    x = 196,601.31/465.68
  6. Step 6: Final answer
    x = 422.18

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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.