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Finding the Fourth Proportional to 600.84, 901.22 and 210.86

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Solution

The fourth proportional to 600.84, 901.22 and 210.86 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.84 : 901.22 = 210.86 : x
  2. Step 2: Convert to fraction form
    600.84/901.22 = 210.86/x
  3. Step 3: Cross multiply
    600.84x = 901.22 × 210.86
  4. Step 4: Simplify right side
    600.84x = 190,031.25
  5. Step 5: Solve for x
    x = 190,031.25/600.84
  6. Step 6: Final answer
    x = 316.28

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