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Finding the Fourth Proportional to 550.58, 760.77 and 433.49

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Solution

The fourth proportional to 550.58, 760.77 and 433.49 is: 598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.58 : 760.77 = 433.49 : x
  2. Step 2: Convert to fraction form
    550.58/760.77 = 433.49/x
  3. Step 3: Cross multiply
    550.58x = 760.77 × 433.49
  4. Step 4: Simplify right side
    550.58x = 329,781.16
  5. Step 5: Solve for x
    x = 329,781.16/550.58
  6. Step 6: Final answer
    x = 598.97

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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.