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Finding the Fourth Proportional to 354.24, 489.39 and 283.50

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Solution

The fourth proportional to 354.24, 489.39 and 283.50 is: 391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 489.39 = 283.50 : x
  2. Step 2: Convert to fraction form
    354.24/489.39 = 283.50/x
  3. Step 3: Cross multiply
    354.24x = 489.39 × 283.50
  4. Step 4: Simplify right side
    354.24x = 138,742.07
  5. Step 5: Solve for x
    x = 138,742.07/354.24
  6. Step 6: Final answer
    x = 391.66

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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.