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Finding the Fourth Proportional to 550.99, 760.44 and 314.98

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Solution

The fourth proportional to 550.99, 760.44 and 314.98 is: 434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.99 : 760.44 = 314.98 : x
  2. Step 2: Convert to fraction form
    550.99/760.44 = 314.98/x
  3. Step 3: Cross multiply
    550.99x = 760.44 × 314.98
  4. Step 4: Simplify right side
    550.99x = 239,521.82
  5. Step 5: Solve for x
    x = 239,521.82/550.99
  6. Step 6: Final answer
    x = 434.71

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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.