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Finding the Fourth Proportional to 597.66, 825.24 and 377.15

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Solution

The fourth proportional to 597.66, 825.24 and 377.15 is: 520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 825.24 = 377.15 : x
  2. Step 2: Convert to fraction form
    597.66/825.24 = 377.15/x
  3. Step 3: Cross multiply
    597.66x = 825.24 × 377.15
  4. Step 4: Simplify right side
    597.66x = 311,235.14
  5. Step 5: Solve for x
    x = 311,235.14/597.66
  6. Step 6: Final answer
    x = 520.76

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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.