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Finding the Fourth Proportional to 508.13, 704.41 and 480.41

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Solution

The fourth proportional to 508.13, 704.41 and 480.41 is: 665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.13 : 704.41 = 480.41 : x
  2. Step 2: Convert to fraction form
    508.13/704.41 = 480.41/x
  3. Step 3: Cross multiply
    508.13x = 704.41 × 480.41
  4. Step 4: Simplify right side
    508.13x = 338,405.61
  5. Step 5: Solve for x
    x = 338,405.61/508.13
  6. Step 6: Final answer
    x = 665.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.