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Finding the Fourth Proportional to 710.30, 980.27 and 415.56

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Solution

The fourth proportional to 710.30, 980.27 and 415.56 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.30 : 980.27 = 415.56 : x
  2. Step 2: Convert to fraction form
    710.30/980.27 = 415.56/x
  3. Step 3: Cross multiply
    710.30x = 980.27 × 415.56
  4. Step 4: Simplify right side
    710.30x = 407,358.92
  5. Step 5: Solve for x
    x = 407,358.92/710.30
  6. Step 6: Final answer
    x = 573.51

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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.