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Finding the Fourth Proportional to 469.42, 704.13 and 225.20

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Solution

The fourth proportional to 469.42, 704.13 and 225.20 is: 337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.42 : 704.13 = 225.20 : x
  2. Step 2: Convert to fraction form
    469.42/704.13 = 225.20/x
  3. Step 3: Cross multiply
    469.42x = 704.13 × 225.20
  4. Step 4: Simplify right side
    469.42x = 158,570.08
  5. Step 5: Solve for x
    x = 158,570.08/469.42
  6. Step 6: Final answer
    x = 337.80

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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.