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Finding the Fourth Proportional to 597.20, 824.04 and 364.40

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Solution

The fourth proportional to 597.20, 824.04 and 364.40 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 824.04 = 364.40 : x
  2. Step 2: Convert to fraction form
    597.20/824.04 = 364.40/x
  3. Step 3: Cross multiply
    597.20x = 824.04 × 364.40
  4. Step 4: Simplify right side
    597.20x = 300,280.18
  5. Step 5: Solve for x
    x = 300,280.18/597.20
  6. Step 6: Final answer
    x = 502.81

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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.