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Finding the Fourth Proportional to 597.52, 823.65 and 398.02

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Solution

The fourth proportional to 597.52, 823.65 and 398.02 is: 548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 823.65 = 398.02 : x
  2. Step 2: Convert to fraction form
    597.52/823.65 = 398.02/x
  3. Step 3: Cross multiply
    597.52x = 823.65 × 398.02
  4. Step 4: Simplify right side
    597.52x = 327,827.18
  5. Step 5: Solve for x
    x = 327,827.18/597.52
  6. Step 6: Final answer
    x = 548.65

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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.