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Finding the Fourth Proportional to 593.62, 818.96 and 406.78

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Solution

The fourth proportional to 593.62, 818.96 and 406.78 is: 561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.62 : 818.96 = 406.78 : x
  2. Step 2: Convert to fraction form
    593.62/818.96 = 406.78/x
  3. Step 3: Cross multiply
    593.62x = 818.96 × 406.78
  4. Step 4: Simplify right side
    593.62x = 333,136.55
  5. Step 5: Solve for x
    x = 333,136.55/593.62
  6. Step 6: Final answer
    x = 561.19

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