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Finding the Fourth Proportional to 469.54, 704.52 and 209.58

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Solution

The fourth proportional to 469.54, 704.52 and 209.58 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.54 : 704.52 = 209.58 : x
  2. Step 2: Convert to fraction form
    469.54/704.52 = 209.58/x
  3. Step 3: Cross multiply
    469.54x = 704.52 × 209.58
  4. Step 4: Simplify right side
    469.54x = 147,653.30
  5. Step 5: Solve for x
    x = 147,653.30/469.54
  6. Step 6: Final answer
    x = 314.46

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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.