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Finding the Fourth Proportional to 597.57, 823.91 and 364.65

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Solution

The fourth proportional to 597.57, 823.91 and 364.65 is: 502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 823.91 = 364.65 : x
  2. Step 2: Convert to fraction form
    597.57/823.91 = 364.65/x
  3. Step 3: Cross multiply
    597.57x = 823.91 × 364.65
  4. Step 4: Simplify right side
    597.57x = 300,438.78
  5. Step 5: Solve for x
    x = 300,438.78/597.57
  6. Step 6: Final answer
    x = 502.77

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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.