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Finding the Fourth Proportional to 351.63, 526.73 and 286.34

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Solution

The fourth proportional to 351.63, 526.73 and 286.34 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.63 : 526.73 = 286.34 : x
  2. Step 2: Convert to fraction form
    351.63/526.73 = 286.34/x
  3. Step 3: Cross multiply
    351.63x = 526.73 × 286.34
  4. Step 4: Simplify right side
    351.63x = 150,819.80
  5. Step 5: Solve for x
    x = 150,819.80/351.63
  6. Step 6: Final answer
    x = 428.92

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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.