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Finding the Fourth Proportional to 490.16, 739.61 and 471.18

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Solution

The fourth proportional to 490.16, 739.61 and 471.18 is: 710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 739.61 = 471.18 : x
  2. Step 2: Convert to fraction form
    490.16/739.61 = 471.18/x
  3. Step 3: Cross multiply
    490.16x = 739.61 × 471.18
  4. Step 4: Simplify right side
    490.16x = 348,486.08
  5. Step 5: Solve for x
    x = 348,486.08/490.16
  6. Step 6: Final answer
    x = 710.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.