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Finding the Fourth Proportional to 550.88, 760.19 and 302.20

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Solution

The fourth proportional to 550.88, 760.19 and 302.20 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.88 : 760.19 = 302.20 : x
  2. Step 2: Convert to fraction form
    550.88/760.19 = 302.20/x
  3. Step 3: Cross multiply
    550.88x = 760.19 × 302.20
  4. Step 4: Simplify right side
    550.88x = 229,729.42
  5. Step 5: Solve for x
    x = 229,729.42/550.88
  6. Step 6: Final answer
    x = 417.02

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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.