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Finding the Fourth Proportional to 593.29, 818.97 and 416.26

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Solution

The fourth proportional to 593.29, 818.97 and 416.26 is: 574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.29 : 818.97 = 416.26 : x
  2. Step 2: Convert to fraction form
    593.29/818.97 = 416.26/x
  3. Step 3: Cross multiply
    593.29x = 818.97 × 416.26
  4. Step 4: Simplify right side
    593.29x = 340,900.36
  5. Step 5: Solve for x
    x = 340,900.36/593.29
  6. Step 6: Final answer
    x = 574.60

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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.