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Finding the Fourth Proportional to 593.46, 818.90 and 357.42

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Solution

The fourth proportional to 593.46, 818.90 and 357.42 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.46 : 818.90 = 357.42 : x
  2. Step 2: Convert to fraction form
    593.46/818.90 = 357.42/x
  3. Step 3: Cross multiply
    593.46x = 818.90 × 357.42
  4. Step 4: Simplify right side
    593.46x = 292,691.24
  5. Step 5: Solve for x
    x = 292,691.24/593.46
  6. Step 6: Final answer
    x = 493.19

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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.