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Finding the Fourth Proportional to 353.90, 489.14 and 266.42

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Solution

The fourth proportional to 353.90, 489.14 and 266.42 is: 368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.90 : 489.14 = 266.42 : x
  2. Step 2: Convert to fraction form
    353.90/489.14 = 266.42/x
  3. Step 3: Cross multiply
    353.90x = 489.14 × 266.42
  4. Step 4: Simplify right side
    353.90x = 130,317.57
  5. Step 5: Solve for x
    x = 130,317.57/353.90
  6. Step 6: Final answer
    x = 368.23

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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.