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Finding the Fourth Proportional to 596.05, 817.66 and 570.85

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Solution

The fourth proportional to 596.05, 817.66 and 570.85 is: 783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.05 : 817.66 = 570.85 : x
  2. Step 2: Convert to fraction form
    596.05/817.66 = 570.85/x
  3. Step 3: Cross multiply
    596.05x = 817.66 × 570.85
  4. Step 4: Simplify right side
    596.05x = 466,761.21
  5. Step 5: Solve for x
    x = 466,761.21/596.05
  6. Step 6: Final answer
    x = 783.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.