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Finding the Fourth Proportional to 550.79, 760.10 and 302.12

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Solution

The fourth proportional to 550.79, 760.10 and 302.12 is: 416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.79 : 760.10 = 302.12 : x
  2. Step 2: Convert to fraction form
    550.79/760.10 = 302.12/x
  3. Step 3: Cross multiply
    550.79x = 760.10 × 302.12
  4. Step 4: Simplify right side
    550.79x = 229,638.00
  5. Step 5: Solve for x
    x = 229,638.00/550.79
  6. Step 6: Final answer
    x = 416.92

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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.