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Finding the Fourth Proportional to 575.76, 863.62 and 210.72

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Solution

The fourth proportional to 575.76, 863.62 and 210.72 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.76 : 863.62 = 210.72 : x
  2. Step 2: Convert to fraction form
    575.76/863.62 = 210.72/x
  3. Step 3: Cross multiply
    575.76x = 863.62 × 210.72
  4. Step 4: Simplify right side
    575.76x = 181,982.01
  5. Step 5: Solve for x
    x = 181,982.01/575.76
  6. Step 6: Final answer
    x = 316.07

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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.