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Finding the Fourth Proportional to 710.29, 980.22 and 415.57

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Solution

The fourth proportional to 710.29, 980.22 and 415.57 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.29 : 980.22 = 415.57 : x
  2. Step 2: Convert to fraction form
    710.29/980.22 = 415.57/x
  3. Step 3: Cross multiply
    710.29x = 980.22 × 415.57
  4. Step 4: Simplify right side
    710.29x = 407,350.03
  5. Step 5: Solve for x
    x = 407,350.03/710.29
  6. Step 6: Final answer
    x = 573.50

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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.