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Finding the Fourth Proportional to 466.24, 697.58 and 408.03

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Solution

The fourth proportional to 466.24, 697.58 and 408.03 is: 610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.24 : 697.58 = 408.03 : x
  2. Step 2: Convert to fraction form
    466.24/697.58 = 408.03/x
  3. Step 3: Cross multiply
    466.24x = 697.58 × 408.03
  4. Step 4: Simplify right side
    466.24x = 284,633.57
  5. Step 5: Solve for x
    x = 284,633.57/466.24
  6. Step 6: Final answer
    x = 610.49

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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.