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Finding the Fourth Proportional to 302.93, 451.92 and 294.56

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Solution

The fourth proportional to 302.93, 451.92 and 294.56 is: 439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.93 : 451.92 = 294.56 : x
  2. Step 2: Convert to fraction form
    302.93/451.92 = 294.56/x
  3. Step 3: Cross multiply
    302.93x = 451.92 × 294.56
  4. Step 4: Simplify right side
    302.93x = 133,117.56
  5. Step 5: Solve for x
    x = 133,117.56/302.93
  6. Step 6: Final answer
    x = 439.43

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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.