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Finding the Fourth Proportional to 597.38, 824.39 and 361.37

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Solution

The fourth proportional to 597.38, 824.39 and 361.37 is: 498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 824.39 = 361.37 : x
  2. Step 2: Convert to fraction form
    597.38/824.39 = 361.37/x
  3. Step 3: Cross multiply
    597.38x = 824.39 × 361.37
  4. Step 4: Simplify right side
    597.38x = 297,912.78
  5. Step 5: Solve for x
    x = 297,912.78/597.38
  6. Step 6: Final answer
    x = 498.70

Related Problems

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Half scale
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Double scale
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1.5x scale

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.