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Finding the Fourth Proportional to 598.10, 824.43 and 471.86

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Solution

The fourth proportional to 598.10, 824.43 and 471.86 is: 650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 824.43 = 471.86 : x
  2. Step 2: Convert to fraction form
    598.10/824.43 = 471.86/x
  3. Step 3: Cross multiply
    598.10x = 824.43 × 471.86
  4. Step 4: Simplify right side
    598.10x = 389,013.62
  5. Step 5: Solve for x
    x = 389,013.62/598.10
  6. Step 6: Final answer
    x = 650.42

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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.