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Finding the Fourth Proportional to 574.26, 790.86 and 572.46

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Solution

The fourth proportional to 574.26, 790.86 and 572.46 is: 788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.26 : 790.86 = 572.46 : x
  2. Step 2: Convert to fraction form
    574.26/790.86 = 572.46/x
  3. Step 3: Cross multiply
    574.26x = 790.86 × 572.46
  4. Step 4: Simplify right side
    574.26x = 452,735.72
  5. Step 5: Solve for x
    x = 452,735.72/574.26
  6. Step 6: Final answer
    x = 788.38

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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.