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Finding the Fourth Proportional to 593.01, 818.61 and 406.44

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Solution

The fourth proportional to 593.01, 818.61 and 406.44 is: 561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.01 : 818.61 = 406.44 : x
  2. Step 2: Convert to fraction form
    593.01/818.61 = 406.44/x
  3. Step 3: Cross multiply
    593.01x = 818.61 × 406.44
  4. Step 4: Simplify right side
    593.01x = 332,715.85
  5. Step 5: Solve for x
    x = 332,715.85/593.01
  6. Step 6: Final answer
    x = 561.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.