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Finding the Fourth Proportional to 575.46, 863.01 and 210.24

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Solution

The fourth proportional to 575.46, 863.01 and 210.24 is: 315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 863.01 = 210.24 : x
  2. Step 2: Convert to fraction form
    575.46/863.01 = 210.24/x
  3. Step 3: Cross multiply
    575.46x = 863.01 × 210.24
  4. Step 4: Simplify right side
    575.46x = 181,439.22
  5. Step 5: Solve for x
    x = 181,439.22/575.46
  6. Step 6: Final answer
    x = 315.29

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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.