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Finding the Fourth Proportional to 617.94, 852.86 and 355.90

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Solution

The fourth proportional to 617.94, 852.86 and 355.90 is: 491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 852.86 = 355.90 : x
  2. Step 2: Convert to fraction form
    617.94/852.86 = 355.90/x
  3. Step 3: Cross multiply
    617.94x = 852.86 × 355.90
  4. Step 4: Simplify right side
    617.94x = 303,532.87
  5. Step 5: Solve for x
    x = 303,532.87/617.94
  6. Step 6: Final answer
    x = 491.20

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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.