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Finding the Fourth Proportional to 597.16, 823.74 and 364.12

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Solution

The fourth proportional to 597.16, 823.74 and 364.12 is: 502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 823.74 = 364.12 : x
  2. Step 2: Convert to fraction form
    597.16/823.74 = 364.12/x
  3. Step 3: Cross multiply
    597.16x = 823.74 × 364.12
  4. Step 4: Simplify right side
    597.16x = 299,940.21
  5. Step 5: Solve for x
    x = 299,940.21/597.16
  6. Step 6: Final answer
    x = 502.28

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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.