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Finding the Fourth Proportional to 550.54, 760.22 and 403.93

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Solution

The fourth proportional to 550.54, 760.22 and 403.93 is: 557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.54 : 760.22 = 403.93 : x
  2. Step 2: Convert to fraction form
    550.54/760.22 = 403.93/x
  3. Step 3: Cross multiply
    550.54x = 760.22 × 403.93
  4. Step 4: Simplify right side
    550.54x = 307,075.66
  5. Step 5: Solve for x
    x = 307,075.66/550.54
  6. Step 6: Final answer
    x = 557.77

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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.