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Finding the Fourth Proportional to 597.33, 824.35 and 348.55

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Solution

The fourth proportional to 597.33, 824.35 and 348.55 is: 481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.33 : 824.35 = 348.55 : x
  2. Step 2: Convert to fraction form
    597.33/824.35 = 348.55/x
  3. Step 3: Cross multiply
    597.33x = 824.35 × 348.55
  4. Step 4: Simplify right side
    597.33x = 287,327.19
  5. Step 5: Solve for x
    x = 287,327.19/597.33
  6. Step 6: Final answer
    x = 481.02

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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.