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Finding the Fourth Proportional to 302.26, 416.12 and 263.42

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Solution

The fourth proportional to 302.26, 416.12 and 263.42 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.26 : 416.12 = 263.42 : x
  2. Step 2: Convert to fraction form
    302.26/416.12 = 263.42/x
  3. Step 3: Cross multiply
    302.26x = 416.12 × 263.42
  4. Step 4: Simplify right side
    302.26x = 109,614.33
  5. Step 5: Solve for x
    x = 109,614.33/302.26
  6. Step 6: Final answer
    x = 362.65

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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.