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Finding the Fourth Proportional to 575.85, 864.11 and 210.67

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Solution

The fourth proportional to 575.85, 864.11 and 210.67 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.85 : 864.11 = 210.67 : x
  2. Step 2: Convert to fraction form
    575.85/864.11 = 210.67/x
  3. Step 3: Cross multiply
    575.85x = 864.11 × 210.67
  4. Step 4: Simplify right side
    575.85x = 182,042.05
  5. Step 5: Solve for x
    x = 182,042.05/575.85
  6. Step 6: Final answer
    x = 316.13

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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.