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Finding the Fourth Proportional to 596.67, 891.35 and 475.07

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Solution

The fourth proportional to 596.67, 891.35 and 475.07 is: 709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.67 : 891.35 = 475.07 : x
  2. Step 2: Convert to fraction form
    596.67/891.35 = 475.07/x
  3. Step 3: Cross multiply
    596.67x = 891.35 × 475.07
  4. Step 4: Simplify right side
    596.67x = 423,451.27
  5. Step 5: Solve for x
    x = 423,451.27/596.67
  6. Step 6: Final answer
    x = 709.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.