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Finding the Fourth Proportional to 600.08, 900.08 and 210.12

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Solution

The fourth proportional to 600.08, 900.08 and 210.12 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.08 : 900.08 = 210.12 : x
  2. Step 2: Convert to fraction form
    600.08/900.08 = 210.12/x
  3. Step 3: Cross multiply
    600.08x = 900.08 × 210.12
  4. Step 4: Simplify right side
    600.08x = 189,124.81
  5. Step 5: Solve for x
    x = 189,124.81/600.08
  6. Step 6: Final answer
    x = 315.17

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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.