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Finding the Fourth Proportional to 710.85, 980.77 and 416.11

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Solution

The fourth proportional to 710.85, 980.77 and 416.11 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.85 : 980.77 = 416.11 : x
  2. Step 2: Convert to fraction form
    710.85/980.77 = 416.11/x
  3. Step 3: Cross multiply
    710.85x = 980.77 × 416.11
  4. Step 4: Simplify right side
    710.85x = 408,108.20
  5. Step 5: Solve for x
    x = 408,108.20/710.85
  6. Step 6: Final answer
    x = 574.11

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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.