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Finding the Fourth Proportional to 593.88, 819.18 and 496.08

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Solution

The fourth proportional to 593.88, 819.18 and 496.08 is: 684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.88 : 819.18 = 496.08 : x
  2. Step 2: Convert to fraction form
    593.88/819.18 = 496.08/x
  3. Step 3: Cross multiply
    593.88x = 819.18 × 496.08
  4. Step 4: Simplify right side
    593.88x = 406,378.81
  5. Step 5: Solve for x
    x = 406,378.81/593.88
  6. Step 6: Final answer
    x = 684.28

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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.