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Finding the Fourth Proportional to 597.76, 824.57 and 376.63

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Solution

The fourth proportional to 597.76, 824.57 and 376.63 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 824.57 = 376.63 : x
  2. Step 2: Convert to fraction form
    597.76/824.57 = 376.63/x
  3. Step 3: Cross multiply
    597.76x = 824.57 × 376.63
  4. Step 4: Simplify right side
    597.76x = 310,557.80
  5. Step 5: Solve for x
    x = 310,557.80/597.76
  6. Step 6: Final answer
    x = 519.54

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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.