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Finding the Fourth Proportional to 508.40, 760.56 and 440.68

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Solution

The fourth proportional to 508.40, 760.56 and 440.68 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 760.56 = 440.68 : x
  2. Step 2: Convert to fraction form
    508.40/760.56 = 440.68/x
  3. Step 3: Cross multiply
    508.40x = 760.56 × 440.68
  4. Step 4: Simplify right side
    508.40x = 335,163.58
  5. Step 5: Solve for x
    x = 335,163.58/508.40
  6. Step 6: Final answer
    x = 659.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.