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Finding the Fourth Proportional to 356.17, 491.39 and 208.70

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Solution

The fourth proportional to 356.17, 491.39 and 208.70 is: 287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.17 : 491.39 = 208.70 : x
  2. Step 2: Convert to fraction form
    356.17/491.39 = 208.70/x
  3. Step 3: Cross multiply
    356.17x = 491.39 × 208.70
  4. Step 4: Simplify right side
    356.17x = 102,549.59
  5. Step 5: Solve for x
    x = 102,549.59/356.17
  6. Step 6: Final answer
    x = 287.93

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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.