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Finding the Fourth Proportional to 506.40, 698.76 and 331.80

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Solution

The fourth proportional to 506.40, 698.76 and 331.80 is: 457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 698.76 = 331.80 : x
  2. Step 2: Convert to fraction form
    506.40/698.76 = 331.80/x
  3. Step 3: Cross multiply
    506.40x = 698.76 × 331.80
  4. Step 4: Simplify right side
    506.40x = 231,848.57
  5. Step 5: Solve for x
    x = 231,848.57/506.40
  6. Step 6: Final answer
    x = 457.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.