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Finding the Fourth Proportional to 600.90, 899.73 and 383.82

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Solution

The fourth proportional to 600.90, 899.73 and 383.82 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.90 : 899.73 = 383.82 : x
  2. Step 2: Convert to fraction form
    600.90/899.73 = 383.82/x
  3. Step 3: Cross multiply
    600.90x = 899.73 × 383.82
  4. Step 4: Simplify right side
    600.90x = 345,334.37
  5. Step 5: Solve for x
    x = 345,334.37/600.90
  6. Step 6: Final answer
    x = 574.70

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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.