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Finding the Fourth Proportional to 575.87, 863.93 and 210.66

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Solution

The fourth proportional to 575.87, 863.93 and 210.66 is: 316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.87 : 863.93 = 210.66 : x
  2. Step 2: Convert to fraction form
    575.87/863.93 = 210.66/x
  3. Step 3: Cross multiply
    575.87x = 863.93 × 210.66
  4. Step 4: Simplify right side
    575.87x = 181,991.17
  5. Step 5: Solve for x
    x = 181,991.17/575.87
  6. Step 6: Final answer
    x = 316.03

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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.