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Finding the Fourth Proportional to 690.44, 1,035.60 and 365.12

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Solution

The fourth proportional to 690.44, 1,035.60 and 365.12 is: 547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.44 : 1,035.60 = 365.12 : x
  2. Step 2: Convert to fraction form
    690.44/1,035.60 = 365.12/x
  3. Step 3: Cross multiply
    690.44x = 1,035.60 × 365.12
  4. Step 4: Simplify right side
    690.44x = 378,118.27
  5. Step 5: Solve for x
    x = 378,118.27/690.44
  6. Step 6: Final answer
    x = 547.65

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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.