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Finding the Fourth Proportional to 550.95, 760.46 and 341.16

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Solution

The fourth proportional to 550.95, 760.46 and 341.16 is: 470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.95 : 760.46 = 341.16 : x
  2. Step 2: Convert to fraction form
    550.95/760.46 = 341.16/x
  3. Step 3: Cross multiply
    550.95x = 760.46 × 341.16
  4. Step 4: Simplify right side
    550.95x = 259,436.83
  5. Step 5: Solve for x
    x = 259,436.83/550.95
  6. Step 6: Final answer
    x = 470.89

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Why These Related Problems?

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