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Finding the Fourth Proportional to 575.32, 794.22 and 538.48

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Solution

The fourth proportional to 575.32, 794.22 and 538.48 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.32 : 794.22 = 538.48 : x
  2. Step 2: Convert to fraction form
    575.32/794.22 = 538.48/x
  3. Step 3: Cross multiply
    575.32x = 794.22 × 538.48
  4. Step 4: Simplify right side
    575.32x = 427,671.59
  5. Step 5: Solve for x
    x = 427,671.59/575.32
  6. Step 6: Final answer
    x = 743.36

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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.