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Finding the Fourth Proportional to 508.80, 759.36 and 466.80

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Solution

The fourth proportional to 508.80, 759.36 and 466.80 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 759.36 = 466.80 : x
  2. Step 2: Convert to fraction form
    508.80/759.36 = 466.80/x
  3. Step 3: Cross multiply
    508.80x = 759.36 × 466.80
  4. Step 4: Simplify right side
    508.80x = 354,469.25
  5. Step 5: Solve for x
    x = 354,469.25/508.80
  6. Step 6: Final answer
    x = 696.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.