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Finding the Fourth Proportional to 597.13, 824.13 and 364.39

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Solution

The fourth proportional to 597.13, 824.13 and 364.39 is: 502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.13 : 824.13 = 364.39 : x
  2. Step 2: Convert to fraction form
    597.13/824.13 = 364.39/x
  3. Step 3: Cross multiply
    597.13x = 824.13 × 364.39
  4. Step 4: Simplify right side
    597.13x = 300,304.73
  5. Step 5: Solve for x
    x = 300,304.73/597.13
  6. Step 6: Final answer
    x = 502.91

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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.