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Finding the Fourth Proportional to 302.36, 417.45 and 232.29

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Solution

The fourth proportional to 302.36, 417.45 and 232.29 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 417.45 = 232.29 : x
  2. Step 2: Convert to fraction form
    302.36/417.45 = 232.29/x
  3. Step 3: Cross multiply
    302.36x = 417.45 × 232.29
  4. Step 4: Simplify right side
    302.36x = 96,969.46
  5. Step 5: Solve for x
    x = 96,969.46/302.36
  6. Step 6: Final answer
    x = 320.71

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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.