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Finding the Fourth Proportional to 469.70, 704.35 and 180.94

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Solution

The fourth proportional to 469.70, 704.35 and 180.94 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.70 : 704.35 = 180.94 : x
  2. Step 2: Convert to fraction form
    469.70/704.35 = 180.94/x
  3. Step 3: Cross multiply
    469.70x = 704.35 × 180.94
  4. Step 4: Simplify right side
    469.70x = 127,443.55
  5. Step 5: Solve for x
    x = 127,443.55/469.70
  6. Step 6: Final answer
    x = 271.33

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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.