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Finding the Fourth Proportional to 356.70, 492.25 and 209.35

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Solution

The fourth proportional to 356.70, 492.25 and 209.35 is: 288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.70 : 492.25 = 209.35 : x
  2. Step 2: Convert to fraction form
    356.70/492.25 = 209.35/x
  3. Step 3: Cross multiply
    356.70x = 492.25 × 209.35
  4. Step 4: Simplify right side
    356.70x = 103,053.61
  5. Step 5: Solve for x
    x = 103,053.61/356.70
  6. Step 6: Final answer
    x = 288.91

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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.