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Finding the Fourth Proportional to 710.96, 980.82 and 416.06

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Solution

The fourth proportional to 710.96, 980.82 and 416.06 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.96 : 980.82 = 416.06 : x
  2. Step 2: Convert to fraction form
    710.96/980.82 = 416.06/x
  3. Step 3: Cross multiply
    710.96x = 980.82 × 416.06
  4. Step 4: Simplify right side
    710.96x = 408,079.97
  5. Step 5: Solve for x
    x = 408,079.97/710.96
  6. Step 6: Final answer
    x = 573.98

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Why These Related Problems?

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