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Finding the Fourth Proportional to 521.61, 783.03 and 213.71

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Solution

The fourth proportional to 521.61, 783.03 and 213.71 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.61 : 783.03 = 213.71 : x
  2. Step 2: Convert to fraction form
    521.61/783.03 = 213.71/x
  3. Step 3: Cross multiply
    521.61x = 783.03 × 213.71
  4. Step 4: Simplify right side
    521.61x = 167,342.63
  5. Step 5: Solve for x
    x = 167,342.63/521.61
  6. Step 6: Final answer
    x = 320.82

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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.