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Finding the Fourth Proportional to 366.96, 546.90 and 366.42

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Solution

The fourth proportional to 366.96, 546.90 and 366.42 is: 546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.96 : 546.90 = 366.42 : x
  2. Step 2: Convert to fraction form
    366.96/546.90 = 366.42/x
  3. Step 3: Cross multiply
    366.96x = 546.90 × 366.42
  4. Step 4: Simplify right side
    366.96x = 200,395.10
  5. Step 5: Solve for x
    x = 200,395.10/366.96
  6. Step 6: Final answer
    x = 546.10

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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.