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Finding the Fourth Proportional to 469.82, 704.74 and 145.18

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Solution

The fourth proportional to 469.82, 704.74 and 145.18 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.82 : 704.74 = 145.18 : x
  2. Step 2: Convert to fraction form
    469.82/704.74 = 145.18/x
  3. Step 3: Cross multiply
    469.82x = 704.74 × 145.18
  4. Step 4: Simplify right side
    469.82x = 102,314.15
  5. Step 5: Solve for x
    x = 102,314.15/469.82
  6. Step 6: Final answer
    x = 217.77

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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.