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Finding the Fourth Proportional to 364.14, 542.39 and 361.98

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Solution

The fourth proportional to 364.14, 542.39 and 361.98 is: 539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 542.39 = 361.98 : x
  2. Step 2: Convert to fraction form
    364.14/542.39 = 361.98/x
  3. Step 3: Cross multiply
    364.14x = 542.39 × 361.98
  4. Step 4: Simplify right side
    364.14x = 196,332.52
  5. Step 5: Solve for x
    x = 196,332.52/364.14
  6. Step 6: Final answer
    x = 539.17

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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.