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Finding the Fourth Proportional to 595.96, 894.28 and 249.48

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Solution

The fourth proportional to 595.96, 894.28 and 249.48 is: 374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 894.28 = 249.48 : x
  2. Step 2: Convert to fraction form
    595.96/894.28 = 249.48/x
  3. Step 3: Cross multiply
    595.96x = 894.28 × 249.48
  4. Step 4: Simplify right side
    595.96x = 223,104.97
  5. Step 5: Solve for x
    x = 223,104.97/595.96
  6. Step 6: Final answer
    x = 374.36

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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.