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Finding the Fourth Proportional to 597.36, 824.36 and 335.38

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Solution

The fourth proportional to 597.36, 824.36 and 335.38 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.36 : 824.36 = 335.38 : x
  2. Step 2: Convert to fraction form
    597.36/824.36 = 335.38/x
  3. Step 3: Cross multiply
    597.36x = 824.36 × 335.38
  4. Step 4: Simplify right side
    597.36x = 276,472.18
  5. Step 5: Solve for x
    x = 276,472.18/597.36
  6. Step 6: Final answer
    x = 462.82

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Double scale
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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.