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Finding the Fourth Proportional to 710.76, 981.36 and 449.16

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Solution

The fourth proportional to 710.76, 981.36 and 449.16 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.76 : 981.36 = 449.16 : x
  2. Step 2: Convert to fraction form
    710.76/981.36 = 449.16/x
  3. Step 3: Cross multiply
    710.76x = 981.36 × 449.16
  4. Step 4: Simplify right side
    710.76x = 440,787.66
  5. Step 5: Solve for x
    x = 440,787.66/710.76
  6. Step 6: Final answer
    x = 620.16

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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.