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Finding the Fourth Proportional to 550.78, 760.05 and 302.11

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Solution

The fourth proportional to 550.78, 760.05 and 302.11 is: 416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 760.05 = 302.11 : x
  2. Step 2: Convert to fraction form
    550.78/760.05 = 302.11/x
  3. Step 3: Cross multiply
    550.78x = 760.05 × 302.11
  4. Step 4: Simplify right side
    550.78x = 229,616.81
  5. Step 5: Solve for x
    x = 229,616.81/550.78
  6. Step 6: Final answer
    x = 416.90

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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.