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Finding the Fourth Proportional to 469.74, 704.49 and 263.82

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Solution

The fourth proportional to 469.74, 704.49 and 263.82 is: 395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.74 : 704.49 = 263.82 : x
  2. Step 2: Convert to fraction form
    469.74/704.49 = 263.82/x
  3. Step 3: Cross multiply
    469.74x = 704.49 × 263.82
  4. Step 4: Simplify right side
    469.74x = 185,858.55
  5. Step 5: Solve for x
    x = 185,858.55/469.74
  6. Step 6: Final answer
    x = 395.66

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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.