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Finding the Fourth Proportional to 593.40, 889.14 and 304.92

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Solution

The fourth proportional to 593.40, 889.14 and 304.92 is: 456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.40 : 889.14 = 304.92 : x
  2. Step 2: Convert to fraction form
    593.40/889.14 = 304.92/x
  3. Step 3: Cross multiply
    593.40x = 889.14 × 304.92
  4. Step 4: Simplify right side
    593.40x = 271,116.57
  5. Step 5: Solve for x
    x = 271,116.57/593.40
  6. Step 6: Final answer
    x = 456.89

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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.