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Finding the Fourth Proportional to 592.92, 889.38 and 304.56

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Solution

The fourth proportional to 592.92, 889.38 and 304.56 is: 456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.92 : 889.38 = 304.56 : x
  2. Step 2: Convert to fraction form
    592.92/889.38 = 304.56/x
  3. Step 3: Cross multiply
    592.92x = 889.38 × 304.56
  4. Step 4: Simplify right side
    592.92x = 270,869.57
  5. Step 5: Solve for x
    x = 270,869.57/592.92
  6. Step 6: Final answer
    x = 456.84

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Why These Related Problems?

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