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Finding the Fourth Proportional to 593.76, 890.57 and 160.95

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Solution

The fourth proportional to 593.76, 890.57 and 160.95 is: 241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.76 : 890.57 = 160.95 : x
  2. Step 2: Convert to fraction form
    593.76/890.57 = 160.95/x
  3. Step 3: Cross multiply
    593.76x = 890.57 × 160.95
  4. Step 4: Simplify right side
    593.76x = 143,336.44
  5. Step 5: Solve for x
    x = 143,336.44/593.76
  6. Step 6: Final answer
    x = 241.40

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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.