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Finding the Fourth Proportional to 598.30, 823.68 and 520.68

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Solution

The fourth proportional to 598.30, 823.68 and 520.68 is: 716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.30 : 823.68 = 520.68 : x
  2. Step 2: Convert to fraction form
    598.30/823.68 = 520.68/x
  3. Step 3: Cross multiply
    598.30x = 823.68 × 520.68
  4. Step 4: Simplify right side
    598.30x = 428,873.70
  5. Step 5: Solve for x
    x = 428,873.70/598.30
  6. Step 6: Final answer
    x = 716.82

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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.