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Finding the Fourth Proportional to 469.58, 704.36 and 144.95

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Solution

The fourth proportional to 469.58, 704.36 and 144.95 is: 217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.58 : 704.36 = 144.95 : x
  2. Step 2: Convert to fraction form
    469.58/704.36 = 144.95/x
  3. Step 3: Cross multiply
    469.58x = 704.36 × 144.95
  4. Step 4: Simplify right side
    469.58x = 102,092.74
  5. Step 5: Solve for x
    x = 102,092.74/469.58
  6. Step 6: Final answer
    x = 217.42

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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.