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Finding the Fourth Proportional to 467.07, 700.61 and 174.60

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Solution

The fourth proportional to 467.07, 700.61 and 174.60 is: 261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 700.61 = 174.60 : x
  2. Step 2: Convert to fraction form
    467.07/700.61 = 174.60/x
  3. Step 3: Cross multiply
    467.07x = 700.61 × 174.60
  4. Step 4: Simplify right side
    467.07x = 122,325.63
  5. Step 5: Solve for x
    x = 122,325.63/467.07
  6. Step 6: Final answer
    x = 261.90

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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.