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Finding the Fourth Proportional to 597.30, 823.87 and 376.17

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Solution

The fourth proportional to 597.30, 823.87 and 376.17 is: 518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.30 : 823.87 = 376.17 : x
  2. Step 2: Convert to fraction form
    597.30/823.87 = 376.17/x
  3. Step 3: Cross multiply
    597.30x = 823.87 × 376.17
  4. Step 4: Simplify right side
    597.30x = 309,909.18
  5. Step 5: Solve for x
    x = 309,909.18/597.30
  6. Step 6: Final answer
    x = 518.85

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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.