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Finding the Fourth Proportional to 593.34, 889.38 and 304.80

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Solution

The fourth proportional to 593.34, 889.38 and 304.80 is: 456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.34 : 889.38 = 304.80 : x
  2. Step 2: Convert to fraction form
    593.34/889.38 = 304.80/x
  3. Step 3: Cross multiply
    593.34x = 889.38 × 304.80
  4. Step 4: Simplify right side
    593.34x = 271,083.02
  5. Step 5: Solve for x
    x = 271,083.02/593.34
  6. Step 6: Final answer
    x = 456.88

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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.