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Finding the Fourth Proportional to 597.20, 823.80 and 364.28

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Solution

The fourth proportional to 597.20, 823.80 and 364.28 is: 502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 823.80 = 364.28 : x
  2. Step 2: Convert to fraction form
    597.20/823.80 = 364.28/x
  3. Step 3: Cross multiply
    597.20x = 823.80 × 364.28
  4. Step 4: Simplify right side
    597.20x = 300,093.86
  5. Step 5: Solve for x
    x = 300,093.86/597.20
  6. Step 6: Final answer
    x = 502.50

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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.