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Finding the Fourth Proportional to 469.33, 704.10 and 144.67

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Solution

The fourth proportional to 469.33, 704.10 and 144.67 is: 217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.33 : 704.10 = 144.67 : x
  2. Step 2: Convert to fraction form
    469.33/704.10 = 144.67/x
  3. Step 3: Cross multiply
    469.33x = 704.10 × 144.67
  4. Step 4: Simplify right side
    469.33x = 101,862.15
  5. Step 5: Solve for x
    x = 101,862.15/469.33
  6. Step 6: Final answer
    x = 217.04

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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.