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Finding the Fourth Proportional to 710.56, 980.46 and 415.80

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Solution

The fourth proportional to 710.56, 980.46 and 415.80 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.56 : 980.46 = 415.80 : x
  2. Step 2: Convert to fraction form
    710.56/980.46 = 415.80/x
  3. Step 3: Cross multiply
    710.56x = 980.46 × 415.80
  4. Step 4: Simplify right side
    710.56x = 407,675.27
  5. Step 5: Solve for x
    x = 407,675.27/710.56
  6. Step 6: Final answer
    x = 573.74

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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.