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Finding the Fourth Proportional to 595.88, 894.16 and 249.22

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Solution

The fourth proportional to 595.88, 894.16 and 249.22 is: 373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.88 : 894.16 = 249.22 : x
  2. Step 2: Convert to fraction form
    595.88/894.16 = 249.22/x
  3. Step 3: Cross multiply
    595.88x = 894.16 × 249.22
  4. Step 4: Simplify right side
    595.88x = 222,841.31
  5. Step 5: Solve for x
    x = 222,841.31/595.88
  6. Step 6: Final answer
    x = 373.97

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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.