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Finding the Fourth Proportional to 600.13, 899.92 and 210.05

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Solution

The fourth proportional to 600.13, 899.92 and 210.05 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 899.92 = 210.05 : x
  2. Step 2: Convert to fraction form
    600.13/899.92 = 210.05/x
  3. Step 3: Cross multiply
    600.13x = 899.92 × 210.05
  4. Step 4: Simplify right side
    600.13x = 189,028.20
  5. Step 5: Solve for x
    x = 189,028.20/600.13
  6. Step 6: Final answer
    x = 314.98

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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.