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Finding the Fourth Proportional to 302.78, 417.20 and 232.83

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Solution

The fourth proportional to 302.78, 417.20 and 232.83 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 417.20 = 232.83 : x
  2. Step 2: Convert to fraction form
    302.78/417.20 = 232.83/x
  3. Step 3: Cross multiply
    302.78x = 417.20 × 232.83
  4. Step 4: Simplify right side
    302.78x = 97,135.51
  5. Step 5: Solve for x
    x = 97,135.51/302.78
  6. Step 6: Final answer
    x = 320.82

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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.