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Finding the Fourth Proportional to 598.28, 823.65 and 516.47

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Solution

The fourth proportional to 598.28, 823.65 and 516.47 is: 711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.28 : 823.65 = 516.47 : x
  2. Step 2: Convert to fraction form
    598.28/823.65 = 516.47/x
  3. Step 3: Cross multiply
    598.28x = 823.65 × 516.47
  4. Step 4: Simplify right side
    598.28x = 425,390.52
  5. Step 5: Solve for x
    x = 425,390.52/598.28
  6. Step 6: Final answer
    x = 711.02

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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.