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Finding the Fourth Proportional to 597.28, 824.20 and 364.40

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Solution

The fourth proportional to 597.28, 824.20 and 364.40 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.28 : 824.20 = 364.40 : x
  2. Step 2: Convert to fraction form
    597.28/824.20 = 364.40/x
  3. Step 3: Cross multiply
    597.28x = 824.20 × 364.40
  4. Step 4: Simplify right side
    597.28x = 300,338.48
  5. Step 5: Solve for x
    x = 300,338.48/597.28
  6. Step 6: Final answer
    x = 502.84

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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.