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Finding the Fourth Proportional to 711.46, 981.54 and 449.02

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Solution

The fourth proportional to 711.46, 981.54 and 449.02 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.46 : 981.54 = 449.02 : x
  2. Step 2: Convert to fraction form
    711.46/981.54 = 449.02/x
  3. Step 3: Cross multiply
    711.46x = 981.54 × 449.02
  4. Step 4: Simplify right side
    711.46x = 440,731.09
  5. Step 5: Solve for x
    x = 440,731.09/711.46
  6. Step 6: Final answer
    x = 619.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.