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Finding the Fourth Proportional to 593.59, 891.96 and 319.88

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Solution

The fourth proportional to 593.59, 891.96 and 319.88 is: 480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.59 : 891.96 = 319.88 : x
  2. Step 2: Convert to fraction form
    593.59/891.96 = 319.88/x
  3. Step 3: Cross multiply
    593.59x = 891.96 × 319.88
  4. Step 4: Simplify right side
    593.59x = 285,320.16
  5. Step 5: Solve for x
    x = 285,320.16/593.59
  6. Step 6: Final answer
    x = 480.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.