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Finding the Fourth Proportional to 469.79, 704.87 and 145.18

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Solution

The fourth proportional to 469.79, 704.87 and 145.18 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.79 : 704.87 = 145.18 : x
  2. Step 2: Convert to fraction form
    469.79/704.87 = 145.18/x
  3. Step 3: Cross multiply
    469.79x = 704.87 × 145.18
  4. Step 4: Simplify right side
    469.79x = 102,333.73
  5. Step 5: Solve for x
    x = 102,333.73/469.79
  6. Step 6: Final answer
    x = 217.83

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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.