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Finding the Fourth Proportional to 671.34, 1,006.82 and 286.50

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Solution

The fourth proportional to 671.34, 1,006.82 and 286.50 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.34 : 1,006.82 = 286.50 : x
  2. Step 2: Convert to fraction form
    671.34/1,006.82 = 286.50/x
  3. Step 3: Cross multiply
    671.34x = 1,006.82 × 286.50
  4. Step 4: Simplify right side
    671.34x = 288,453.93
  5. Step 5: Solve for x
    x = 288,453.93/671.34
  6. Step 6: Final answer
    x = 429.67

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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.