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Finding the Fourth Proportional to 600.92, 899.95 and 383.84

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Solution

The fourth proportional to 600.92, 899.95 and 383.84 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 899.95 = 383.84 : x
  2. Step 2: Convert to fraction form
    600.92/899.95 = 383.84/x
  3. Step 3: Cross multiply
    600.92x = 899.95 × 383.84
  4. Step 4: Simplify right side
    600.92x = 345,436.81
  5. Step 5: Solve for x
    x = 345,436.81/600.92
  6. Step 6: Final answer
    x = 574.85

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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.