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Finding the Fourth Proportional to 936.41, 1,404.56 and 278.26

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Solution

The fourth proportional to 936.41, 1,404.56 and 278.26 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.41 : 1,404.56 = 278.26 : x
  2. Step 2: Convert to fraction form
    936.41/1,404.56 = 278.26/x
  3. Step 3: Cross multiply
    936.41x = 1,404.56 × 278.26
  4. Step 4: Simplify right side
    936.41x = 390,832.87
  5. Step 5: Solve for x
    x = 390,832.87/936.41
  6. Step 6: Final answer
    x = 417.37

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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.