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Finding the Fourth Proportional to 597.95, 825.47 and 377.24

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Solution

The fourth proportional to 597.95, 825.47 and 377.24 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.95 : 825.47 = 377.24 : x
  2. Step 2: Convert to fraction form
    597.95/825.47 = 377.24/x
  3. Step 3: Cross multiply
    597.95x = 825.47 × 377.24
  4. Step 4: Simplify right side
    597.95x = 311,398.42
  5. Step 5: Solve for x
    x = 311,398.42/597.95
  6. Step 6: Final answer
    x = 520.78

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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.