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Finding the Fourth Proportional to 575.82, 864.12 and 210.90

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Solution

The fourth proportional to 575.82, 864.12 and 210.90 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.82 : 864.12 = 210.90 : x
  2. Step 2: Convert to fraction form
    575.82/864.12 = 210.90/x
  3. Step 3: Cross multiply
    575.82x = 864.12 × 210.90
  4. Step 4: Simplify right side
    575.82x = 182,242.91
  5. Step 5: Solve for x
    x = 182,242.91/575.82
  6. Step 6: Final answer
    x = 316.49

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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.