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Finding the Fourth Proportional to 469.30, 704.17 and 209.27

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Solution

The fourth proportional to 469.30, 704.17 and 209.27 is: 314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.30 : 704.17 = 209.27 : x
  2. Step 2: Convert to fraction form
    469.30/704.17 = 209.27/x
  3. Step 3: Cross multiply
    469.30x = 704.17 × 209.27
  4. Step 4: Simplify right side
    469.30x = 147,365.00
  5. Step 5: Solve for x
    x = 147,365.00/469.30
  6. Step 6: Final answer
    x = 314.01

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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.