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Finding the Fourth Proportional to 597.17, 823.86 and 387.38

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Solution

The fourth proportional to 597.17, 823.86 and 387.38 is: 534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 823.86 = 387.38 : x
  2. Step 2: Convert to fraction form
    597.17/823.86 = 387.38/x
  3. Step 3: Cross multiply
    597.17x = 823.86 × 387.38
  4. Step 4: Simplify right side
    597.17x = 319,146.89
  5. Step 5: Solve for x
    x = 319,146.89/597.17
  6. Step 6: Final answer
    x = 534.43

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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.