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Finding the Fourth Proportional to 469.35, 704.10 and 195.30

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Solution

The fourth proportional to 469.35, 704.10 and 195.30 is: 292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.35 : 704.10 = 195.30 : x
  2. Step 2: Convert to fraction form
    469.35/704.10 = 195.30/x
  3. Step 3: Cross multiply
    469.35x = 704.10 × 195.30
  4. Step 4: Simplify right side
    469.35x = 137,510.73
  5. Step 5: Solve for x
    x = 137,510.73/469.35
  6. Step 6: Final answer
    x = 292.98

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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.