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Finding the Fourth Proportional to 354.90, 489.18 and 256.50

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Solution

The fourth proportional to 354.90, 489.18 and 256.50 is: 353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.90 : 489.18 = 256.50 : x
  2. Step 2: Convert to fraction form
    354.90/489.18 = 256.50/x
  3. Step 3: Cross multiply
    354.90x = 489.18 × 256.50
  4. Step 4: Simplify right side
    354.90x = 125,474.67
  5. Step 5: Solve for x
    x = 125,474.67/354.90
  6. Step 6: Final answer
    x = 353.55

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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.