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Finding the Fourth Proportional to 597.15, 824.17 and 376.22

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Solution

The fourth proportional to 597.15, 824.17 and 376.22 is: 519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.15 : 824.17 = 376.22 : x
  2. Step 2: Convert to fraction form
    597.15/824.17 = 376.22/x
  3. Step 3: Cross multiply
    597.15x = 824.17 × 376.22
  4. Step 4: Simplify right side
    597.15x = 310,069.24
  5. Step 5: Solve for x
    x = 310,069.24/597.15
  6. Step 6: Final answer
    x = 519.25

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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.