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Finding the Fourth Proportional to 618.46, 928.02 and 344.51

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Solution

The fourth proportional to 618.46, 928.02 and 344.51 is: 516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.46 : 928.02 = 344.51 : x
  2. Step 2: Convert to fraction form
    618.46/928.02 = 344.51/x
  3. Step 3: Cross multiply
    618.46x = 928.02 × 344.51
  4. Step 4: Simplify right side
    618.46x = 319,712.17
  5. Step 5: Solve for x
    x = 319,712.17/618.46
  6. Step 6: Final answer
    x = 516.95

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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.