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Finding the Fourth Proportional to 403.11, 556.07 and 292.46

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Solution

The fourth proportional to 403.11, 556.07 and 292.46 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.11 : 556.07 = 292.46 : x
  2. Step 2: Convert to fraction form
    403.11/556.07 = 292.46/x
  3. Step 3: Cross multiply
    403.11x = 556.07 × 292.46
  4. Step 4: Simplify right side
    403.11x = 162,623.99
  5. Step 5: Solve for x
    x = 162,623.99/403.11
  6. Step 6: Final answer
    x = 403.42

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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.