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Finding the Fourth Proportional to 598.61, 825.73 and 377.17

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Solution

The fourth proportional to 598.61, 825.73 and 377.17 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.61 : 825.73 = 377.17 : x
  2. Step 2: Convert to fraction form
    598.61/825.73 = 377.17/x
  3. Step 3: Cross multiply
    598.61x = 825.73 × 377.17
  4. Step 4: Simplify right side
    598.61x = 311,437.58
  5. Step 5: Solve for x
    x = 311,437.58/598.61
  6. Step 6: Final answer
    x = 520.27

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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.