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Finding the Fourth Proportional to 462.91, 693.95 and 174.55

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Solution

The fourth proportional to 462.91, 693.95 and 174.55 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.91 : 693.95 = 174.55 : x
  2. Step 2: Convert to fraction form
    462.91/693.95 = 174.55/x
  3. Step 3: Cross multiply
    462.91x = 693.95 × 174.55
  4. Step 4: Simplify right side
    462.91x = 121,127.67
  5. Step 5: Solve for x
    x = 121,127.67/462.91
  6. Step 6: Final answer
    x = 261.67

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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.