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Finding the Fourth Proportional to 550.94, 760.84 and 384.92

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Solution

The fourth proportional to 550.94, 760.84 and 384.92 is: 531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.94 : 760.84 = 384.92 : x
  2. Step 2: Convert to fraction form
    550.94/760.84 = 384.92/x
  3. Step 3: Cross multiply
    550.94x = 760.84 × 384.92
  4. Step 4: Simplify right side
    550.94x = 292,862.53
  5. Step 5: Solve for x
    x = 292,862.53/550.94
  6. Step 6: Final answer
    x = 531.57

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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.