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Finding the Fourth Proportional to 591.67, 816.66 and 355.63

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Solution

The fourth proportional to 591.67, 816.66 and 355.63 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.67 : 816.66 = 355.63 : x
  2. Step 2: Convert to fraction form
    591.67/816.66 = 355.63/x
  3. Step 3: Cross multiply
    591.67x = 816.66 × 355.63
  4. Step 4: Simplify right side
    591.67x = 290,422.93
  5. Step 5: Solve for x
    x = 290,422.93/591.67
  6. Step 6: Final answer
    x = 490.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.