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Finding the Fourth Proportional to 469.82, 704.73 and 140.76

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Solution

The fourth proportional to 469.82, 704.73 and 140.76 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.82 : 704.73 = 140.76 : x
  2. Step 2: Convert to fraction form
    469.82/704.73 = 140.76/x
  3. Step 3: Cross multiply
    469.82x = 704.73 × 140.76
  4. Step 4: Simplify right side
    469.82x = 99,197.79
  5. Step 5: Solve for x
    x = 99,197.79/469.82
  6. Step 6: Final answer
    x = 211.14

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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.