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Finding the Fourth Proportional to 597.38, 824.43 and 364.50

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Solution

The fourth proportional to 597.38, 824.43 and 364.50 is: 503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 824.43 = 364.50 : x
  2. Step 2: Convert to fraction form
    597.38/824.43 = 364.50/x
  3. Step 3: Cross multiply
    597.38x = 824.43 × 364.50
  4. Step 4: Simplify right side
    597.38x = 300,504.74
  5. Step 5: Solve for x
    x = 300,504.74/597.38
  6. Step 6: Final answer
    x = 503.04

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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.