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Finding the Fourth Proportional to 597.84, 825 and 335.82

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Solution

The fourth proportional to 597.84, 825 and 335.82 is: 463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 825 = 335.82 : x
  2. Step 2: Convert to fraction form
    597.84/825 = 335.82/x
  3. Step 3: Cross multiply
    597.84x = 825 × 335.82
  4. Step 4: Simplify right side
    597.84x = 277,051.50
  5. Step 5: Solve for x
    x = 277,051.50/597.84
  6. Step 6: Final answer
    x = 463.42

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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.