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Finding the Fourth Proportional to 364.93, 551.36 and 361.69

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Solution

The fourth proportional to 364.93, 551.36 and 361.69 is: 546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 551.36 = 361.69 : x
  2. Step 2: Convert to fraction form
    364.93/551.36 = 361.69/x
  3. Step 3: Cross multiply
    364.93x = 551.36 × 361.69
  4. Step 4: Simplify right side
    364.93x = 199,420.92
  5. Step 5: Solve for x
    x = 199,420.92/364.93
  6. Step 6: Final answer
    x = 546.47

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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.