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Finding the Fourth Proportional to 302.68, 451.55 and 294.31

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Solution

The fourth proportional to 302.68, 451.55 and 294.31 is: 439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.68 : 451.55 = 294.31 : x
  2. Step 2: Convert to fraction form
    302.68/451.55 = 294.31/x
  3. Step 3: Cross multiply
    302.68x = 451.55 × 294.31
  4. Step 4: Simplify right side
    302.68x = 132,895.68
  5. Step 5: Solve for x
    x = 132,895.68/302.68
  6. Step 6: Final answer
    x = 439.06

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