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Finding the Fourth Proportional to 600.88, 901.50 and 406.66

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Solution

The fourth proportional to 600.88, 901.50 and 406.66 is: 610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.88 : 901.50 = 406.66 : x
  2. Step 2: Convert to fraction form
    600.88/901.50 = 406.66/x
  3. Step 3: Cross multiply
    600.88x = 901.50 × 406.66
  4. Step 4: Simplify right side
    600.88x = 366,603.99
  5. Step 5: Solve for x
    x = 366,603.99/600.88
  6. Step 6: Final answer
    x = 610.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.