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Finding the Fourth Proportional to 283.89, 425.46 and 275.58

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Solution

The fourth proportional to 283.89, 425.46 and 275.58 is: 413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.89 : 425.46 = 275.58 : x
  2. Step 2: Convert to fraction form
    283.89/425.46 = 275.58/x
  3. Step 3: Cross multiply
    283.89x = 425.46 × 275.58
  4. Step 4: Simplify right side
    283.89x = 117,248.27
  5. Step 5: Solve for x
    x = 117,248.27/283.89
  6. Step 6: Final answer
    x = 413.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.