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Finding the Fourth Proportional to 462.64, 693.81 and 174.01

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Solution

The fourth proportional to 462.64, 693.81 and 174.01 is: 260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.64 : 693.81 = 174.01 : x
  2. Step 2: Convert to fraction form
    462.64/693.81 = 174.01/x
  3. Step 3: Cross multiply
    462.64x = 693.81 × 174.01
  4. Step 4: Simplify right side
    462.64x = 120,729.88
  5. Step 5: Solve for x
    x = 120,729.88/462.64
  6. Step 6: Final answer
    x = 260.96

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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.