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Finding the Fourth Proportional to 550.94, 760.25 and 302.24

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Solution

The fourth proportional to 550.94, 760.25 and 302.24 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.94 : 760.25 = 302.24 : x
  2. Step 2: Convert to fraction form
    550.94/760.25 = 302.24/x
  3. Step 3: Cross multiply
    550.94x = 760.25 × 302.24
  4. Step 4: Simplify right side
    550.94x = 229,777.96
  5. Step 5: Solve for x
    x = 229,777.96/550.94
  6. Step 6: Final answer
    x = 417.07

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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.