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Finding the Fourth Proportional to 597.54, 824.67 and 376.59

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Solution

The fourth proportional to 597.54, 824.67 and 376.59 is: 519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 824.67 = 376.59 : x
  2. Step 2: Convert to fraction form
    597.54/824.67 = 376.59/x
  3. Step 3: Cross multiply
    597.54x = 824.67 × 376.59
  4. Step 4: Simplify right side
    597.54x = 310,562.48
  5. Step 5: Solve for x
    x = 310,562.48/597.54
  6. Step 6: Final answer
    x = 519.74

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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.