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Finding the Fourth Proportional to 597.82, 825 and 335.90

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Solution

The fourth proportional to 597.82, 825 and 335.90 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.82 : 825 = 335.90 : x
  2. Step 2: Convert to fraction form
    597.82/825 = 335.90/x
  3. Step 3: Cross multiply
    597.82x = 825 × 335.90
  4. Step 4: Simplify right side
    597.82x = 277,117.50
  5. Step 5: Solve for x
    x = 277,117.50/597.82
  6. Step 6: Final answer
    x = 463.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.