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Finding the Fourth Proportional to 575.67, 863.94 and 541.65

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Solution

The fourth proportional to 575.67, 863.94 and 541.65 is: 812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.67 : 863.94 = 541.65 : x
  2. Step 2: Convert to fraction form
    575.67/863.94 = 541.65/x
  3. Step 3: Cross multiply
    575.67x = 863.94 × 541.65
  4. Step 4: Simplify right side
    575.67x = 467,953.10
  5. Step 5: Solve for x
    x = 467,953.10/575.67
  6. Step 6: Final answer
    x = 812.88

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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.