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Finding the Fourth Proportional to 598.17, 825.07 and 376.93

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Solution

The fourth proportional to 598.17, 825.07 and 376.93 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.17 : 825.07 = 376.93 : x
  2. Step 2: Convert to fraction form
    598.17/825.07 = 376.93/x
  3. Step 3: Cross multiply
    598.17x = 825.07 × 376.93
  4. Step 4: Simplify right side
    598.17x = 310,993.64
  5. Step 5: Solve for x
    x = 310,993.64/598.17
  6. Step 6: Final answer
    x = 519.91

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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.