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Finding the Fourth Proportional to 302.39, 451.65 and 241.34

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Solution

The fourth proportional to 302.39, 451.65 and 241.34 is: 360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.39 : 451.65 = 241.34 : x
  2. Step 2: Convert to fraction form
    302.39/451.65 = 241.34/x
  3. Step 3: Cross multiply
    302.39x = 451.65 × 241.34
  4. Step 4: Simplify right side
    302.39x = 108,998.95
  5. Step 5: Solve for x
    x = 108,998.95/302.39
  6. Step 6: Final answer
    x = 360.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.