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Finding the Fourth Proportional to 597.31, 823.84 and 398.05

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Solution

The fourth proportional to 597.31, 823.84 and 398.05 is: 549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.31 : 823.84 = 398.05 : x
  2. Step 2: Convert to fraction form
    597.31/823.84 = 398.05/x
  3. Step 3: Cross multiply
    597.31x = 823.84 × 398.05
  4. Step 4: Simplify right side
    597.31x = 327,926.46
  5. Step 5: Solve for x
    x = 327,926.46/597.31
  6. Step 6: Final answer
    x = 549.01

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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.