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Finding the Fourth Proportional to 538.34, 807.51 and 213.71

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Solution

The fourth proportional to 538.34, 807.51 and 213.71 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.34 : 807.51 = 213.71 : x
  2. Step 2: Convert to fraction form
    538.34/807.51 = 213.71/x
  3. Step 3: Cross multiply
    538.34x = 807.51 × 213.71
  4. Step 4: Simplify right side
    538.34x = 172,567.86
  5. Step 5: Solve for x
    x = 172,567.86/538.34
  6. Step 6: Final answer
    x = 320.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.