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Finding the Fourth Proportional to 711.16, 981.02 and 490.22

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Solution

The fourth proportional to 711.16, 981.02 and 490.22 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.16 : 981.02 = 490.22 : x
  2. Step 2: Convert to fraction form
    711.16/981.02 = 490.22/x
  3. Step 3: Cross multiply
    711.16x = 981.02 × 490.22
  4. Step 4: Simplify right side
    711.16x = 480,915.62
  5. Step 5: Solve for x
    x = 480,915.62/711.16
  6. Step 6: Final answer
    x = 676.24

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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.