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Finding the Fourth Proportional to 736.05, 1,015.74 and 404.46

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Solution

The fourth proportional to 736.05, 1,015.74 and 404.46 is: 558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.05 : 1,015.74 = 404.46 : x
  2. Step 2: Convert to fraction form
    736.05/1,015.74 = 404.46/x
  3. Step 3: Cross multiply
    736.05x = 1,015.74 × 404.46
  4. Step 4: Simplify right side
    736.05x = 410,826.20
  5. Step 5: Solve for x
    x = 410,826.20/736.05
  6. Step 6: Final answer
    x = 558.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.