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Finding the Fourth Proportional to 365.93, 548.47 and 229.01

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Solution

The fourth proportional to 365.93, 548.47 and 229.01 is: 343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.93 : 548.47 = 229.01 : x
  2. Step 2: Convert to fraction form
    365.93/548.47 = 229.01/x
  3. Step 3: Cross multiply
    365.93x = 548.47 × 229.01
  4. Step 4: Simplify right side
    365.93x = 125,605.11
  5. Step 5: Solve for x
    x = 125,605.11/365.93
  6. Step 6: Final answer
    x = 343.25

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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.