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Finding the Fourth Proportional to 575.22, 863.10 and 210.08

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Solution

The fourth proportional to 575.22, 863.10 and 210.08 is: 315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.22 : 863.10 = 210.08 : x
  2. Step 2: Convert to fraction form
    575.22/863.10 = 210.08/x
  3. Step 3: Cross multiply
    575.22x = 863.10 × 210.08
  4. Step 4: Simplify right side
    575.22x = 181,320.05
  5. Step 5: Solve for x
    x = 181,320.05/575.22
  6. Step 6: Final answer
    x = 315.22

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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.