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Finding the Fourth Proportional to 600.78, 829.08 and 379.83

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Solution

The fourth proportional to 600.78, 829.08 and 379.83 is: 524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 829.08 = 379.83 : x
  2. Step 2: Convert to fraction form
    600.78/829.08 = 379.83/x
  3. Step 3: Cross multiply
    600.78x = 829.08 × 379.83
  4. Step 4: Simplify right side
    600.78x = 314,909.46
  5. Step 5: Solve for x
    x = 314,909.46/600.78
  6. Step 6: Final answer
    x = 524.17

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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.