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Finding the Fourth Proportional to 550.98, 760.34 and 302.28

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Solution

The fourth proportional to 550.98, 760.34 and 302.28 is: 417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 760.34 = 302.28 : x
  2. Step 2: Convert to fraction form
    550.98/760.34 = 302.28/x
  3. Step 3: Cross multiply
    550.98x = 760.34 × 302.28
  4. Step 4: Simplify right side
    550.98x = 229,834.06
  5. Step 5: Solve for x
    x = 229,834.06/550.98
  6. Step 6: Final answer
    x = 417.14

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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.