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Finding the Fourth Proportional to 343.52, 514.94 and 294.58

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Solution

The fourth proportional to 343.52, 514.94 and 294.58 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 514.94 = 294.58 : x
  2. Step 2: Convert to fraction form
    343.52/514.94 = 294.58/x
  3. Step 3: Cross multiply
    343.52x = 514.94 × 294.58
  4. Step 4: Simplify right side
    343.52x = 151,691.03
  5. Step 5: Solve for x
    x = 151,691.03/343.52
  6. Step 6: Final answer
    x = 441.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.