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Finding the Fourth Proportional to 593.46, 894.24 and 487.62

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Solution

The fourth proportional to 593.46, 894.24 and 487.62 is: 734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.46 : 894.24 = 487.62 : x
  2. Step 2: Convert to fraction form
    593.46/894.24 = 487.62/x
  3. Step 3: Cross multiply
    593.46x = 894.24 × 487.62
  4. Step 4: Simplify right side
    593.46x = 436,049.31
  5. Step 5: Solve for x
    x = 436,049.31/593.46
  6. Step 6: Final answer
    x = 734.76

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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.