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Finding the Fourth Proportional to 405.46, 607.92 and 240.94

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Solution

The fourth proportional to 405.46, 607.92 and 240.94 is: 361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.46 : 607.92 = 240.94 : x
  2. Step 2: Convert to fraction form
    405.46/607.92 = 240.94/x
  3. Step 3: Cross multiply
    405.46x = 607.92 × 240.94
  4. Step 4: Simplify right side
    405.46x = 146,472.24
  5. Step 5: Solve for x
    x = 146,472.24/405.46
  6. Step 6: Final answer
    x = 361.25

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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.