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Finding the Fourth Proportional to 593.22, 818.73 and 477.66

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Solution

The fourth proportional to 593.22, 818.73 and 477.66 is: 659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.22 : 818.73 = 477.66 : x
  2. Step 2: Convert to fraction form
    593.22/818.73 = 477.66/x
  3. Step 3: Cross multiply
    593.22x = 818.73 × 477.66
  4. Step 4: Simplify right side
    593.22x = 391,074.57
  5. Step 5: Solve for x
    x = 391,074.57/593.22
  6. Step 6: Final answer
    x = 659.24

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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.