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Finding the Fourth Proportional to 469.10, 704.08 and 238.15

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Solution

The fourth proportional to 469.10, 704.08 and 238.15 is: 357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.10 : 704.08 = 238.15 : x
  2. Step 2: Convert to fraction form
    469.10/704.08 = 238.15/x
  3. Step 3: Cross multiply
    469.10x = 704.08 × 238.15
  4. Step 4: Simplify right side
    469.10x = 167,676.65
  5. Step 5: Solve for x
    x = 167,676.65/469.10
  6. Step 6: Final answer
    x = 357.44

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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.