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Finding the Fourth Proportional to 592.96, 889.71 and 304.42

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Solution

The fourth proportional to 592.96, 889.71 and 304.42 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 889.71 = 304.42 : x
  2. Step 2: Convert to fraction form
    592.96/889.71 = 304.42/x
  3. Step 3: Cross multiply
    592.96x = 889.71 × 304.42
  4. Step 4: Simplify right side
    592.96x = 270,845.52
  5. Step 5: Solve for x
    x = 270,845.52/592.96
  6. Step 6: Final answer
    x = 456.77

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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.