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Finding the Fourth Proportional to 521.73, 783.72 and 316.39

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Solution

The fourth proportional to 521.73, 783.72 and 316.39 is: 475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.73 : 783.72 = 316.39 : x
  2. Step 2: Convert to fraction form
    521.73/783.72 = 316.39/x
  3. Step 3: Cross multiply
    521.73x = 783.72 × 316.39
  4. Step 4: Simplify right side
    521.73x = 247,961.17
  5. Step 5: Solve for x
    x = 247,961.17/521.73
  6. Step 6: Final answer
    x = 475.27

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Why These Related Problems?

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