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Finding the Fourth Proportional to 598.01, 814.18 and 596.15

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Solution

The fourth proportional to 598.01, 814.18 and 596.15 is: 811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 814.18 = 596.15 : x
  2. Step 2: Convert to fraction form
    598.01/814.18 = 596.15/x
  3. Step 3: Cross multiply
    598.01x = 814.18 × 596.15
  4. Step 4: Simplify right side
    598.01x = 485,377.71
  5. Step 5: Solve for x
    x = 485,377.71/598.01
  6. Step 6: Final answer
    x = 811.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.