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Finding the Fourth Proportional to 592.72, 889.56 and 304.24

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Solution

The fourth proportional to 592.72, 889.56 and 304.24 is: 456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.72 : 889.56 = 304.24 : x
  2. Step 2: Convert to fraction form
    592.72/889.56 = 304.24/x
  3. Step 3: Cross multiply
    592.72x = 889.56 × 304.24
  4. Step 4: Simplify right side
    592.72x = 270,639.73
  5. Step 5: Solve for x
    x = 270,639.73/592.72
  6. Step 6: Final answer
    x = 456.61

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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.