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Finding the Fourth Proportional to 405.38, 608.34 and 268.76

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Solution

The fourth proportional to 405.38, 608.34 and 268.76 is: 403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.38 : 608.34 = 268.76 : x
  2. Step 2: Convert to fraction form
    405.38/608.34 = 268.76/x
  3. Step 3: Cross multiply
    405.38x = 608.34 × 268.76
  4. Step 4: Simplify right side
    405.38x = 163,497.46
  5. Step 5: Solve for x
    x = 163,497.46/405.38
  6. Step 6: Final answer
    x = 403.32

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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.