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Finding the Fourth Proportional to 365.40, 547.20 and 365.40

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Solution

The fourth proportional to 365.40, 547.20 and 365.40 is: 547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.40 : 547.20 = 365.40 : x
  2. Step 2: Convert to fraction form
    365.40/547.20 = 365.40/x
  3. Step 3: Cross multiply
    365.40x = 547.20 × 365.40
  4. Step 4: Simplify right side
    365.40x = 199,946.88
  5. Step 5: Solve for x
    x = 199,946.88/365.40
  6. Step 6: Final answer
    x = 547.20

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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.