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Finding the Fourth Proportional to 710.30, 980.17 and 415.55

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Solution

The fourth proportional to 710.30, 980.17 and 415.55 is: 573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.30 : 980.17 = 415.55 : x
  2. Step 2: Convert to fraction form
    710.30/980.17 = 415.55/x
  3. Step 3: Cross multiply
    710.30x = 980.17 × 415.55
  4. Step 4: Simplify right side
    710.30x = 407,309.64
  5. Step 5: Solve for x
    x = 407,309.64/710.30
  6. Step 6: Final answer
    x = 573.43

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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.