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Finding the Fourth Proportional to 597.86, 825.10 and 349.32

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Solution

The fourth proportional to 597.86, 825.10 and 349.32 is: 482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 825.10 = 349.32 : x
  2. Step 2: Convert to fraction form
    597.86/825.10 = 349.32/x
  3. Step 3: Cross multiply
    597.86x = 825.10 × 349.32
  4. Step 4: Simplify right side
    597.86x = 288,223.93
  5. Step 5: Solve for x
    x = 288,223.93/597.86
  6. Step 6: Final answer
    x = 482.09

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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.