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Finding the Fourth Proportional to 597.52, 824.56 and 348.86

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Solution

The fourth proportional to 597.52, 824.56 and 348.86 is: 481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 824.56 = 348.86 : x
  2. Step 2: Convert to fraction form
    597.52/824.56 = 348.86/x
  3. Step 3: Cross multiply
    597.52x = 824.56 × 348.86
  4. Step 4: Simplify right side
    597.52x = 287,656.00
  5. Step 5: Solve for x
    x = 287,656.00/597.52
  6. Step 6: Final answer
    x = 481.42

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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.