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Finding the Fourth Proportional to 462.99, 693.99 and 174.36

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Solution

The fourth proportional to 462.99, 693.99 and 174.36 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.99 : 693.99 = 174.36 : x
  2. Step 2: Convert to fraction form
    462.99/693.99 = 174.36/x
  3. Step 3: Cross multiply
    462.99x = 693.99 × 174.36
  4. Step 4: Simplify right side
    462.99x = 121,004.10
  5. Step 5: Solve for x
    x = 121,004.10/462.99
  6. Step 6: Final answer
    x = 261.35

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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.