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Finding the Fourth Proportional to 366.53, 552.42 and 362.88

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Solution

The fourth proportional to 366.53, 552.42 and 362.88 is: 546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.53 : 552.42 = 362.88 : x
  2. Step 2: Convert to fraction form
    366.53/552.42 = 362.88/x
  3. Step 3: Cross multiply
    366.53x = 552.42 × 362.88
  4. Step 4: Simplify right side
    366.53x = 200,462.17
  5. Step 5: Solve for x
    x = 200,462.17/366.53
  6. Step 6: Final answer
    x = 546.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.