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Finding the Fourth Proportional to 593.01, 892.85 and 431.82

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Solution

The fourth proportional to 593.01, 892.85 and 431.82 is: 650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.01 : 892.85 = 431.82 : x
  2. Step 2: Convert to fraction form
    593.01/892.85 = 431.82/x
  3. Step 3: Cross multiply
    593.01x = 892.85 × 431.82
  4. Step 4: Simplify right side
    593.01x = 385,548.33
  5. Step 5: Solve for x
    x = 385,548.33/593.01
  6. Step 6: Final answer
    x = 650.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.