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Finding the Fourth Proportional to 597.88, 824.54 and 471.92

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Solution

The fourth proportional to 597.88, 824.54 and 471.92 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.88 : 824.54 = 471.92 : x
  2. Step 2: Convert to fraction form
    597.88/824.54 = 471.92/x
  3. Step 3: Cross multiply
    597.88x = 824.54 × 471.92
  4. Step 4: Simplify right side
    597.88x = 389,116.92
  5. Step 5: Solve for x
    x = 389,116.92/597.88
  6. Step 6: Final answer
    x = 650.83

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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.