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Finding the Fourth Proportional to 403.99, 557.27 and 293.33

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Solution

The fourth proportional to 403.99, 557.27 and 293.33 is: 404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.99 : 557.27 = 293.33 : x
  2. Step 2: Convert to fraction form
    403.99/557.27 = 293.33/x
  3. Step 3: Cross multiply
    403.99x = 557.27 × 293.33
  4. Step 4: Simplify right side
    403.99x = 163,462.54
  5. Step 5: Solve for x
    x = 163,462.54/403.99
  6. Step 6: Final answer
    x = 404.63

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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.