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Finding the Fourth Proportional to 469.64, 704.82 and 209.54

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Solution

The fourth proportional to 469.64, 704.82 and 209.54 is: 314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.64 : 704.82 = 209.54 : x
  2. Step 2: Convert to fraction form
    469.64/704.82 = 209.54/x
  3. Step 3: Cross multiply
    469.64x = 704.82 × 209.54
  4. Step 4: Simplify right side
    469.64x = 147,687.98
  5. Step 5: Solve for x
    x = 147,687.98/469.64
  6. Step 6: Final answer
    x = 314.47

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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.