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Finding the Fourth Proportional to 469.56, 704.16 and 209.48

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Solution

The fourth proportional to 469.56, 704.16 and 209.48 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.56 : 704.16 = 209.48 : x
  2. Step 2: Convert to fraction form
    469.56/704.16 = 209.48/x
  3. Step 3: Cross multiply
    469.56x = 704.16 × 209.48
  4. Step 4: Simplify right side
    469.56x = 147,507.44
  5. Step 5: Solve for x
    x = 147,507.44/469.56
  6. Step 6: Final answer
    x = 314.14

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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.