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Finding the Fourth Proportional to 607.46, 911.31 and 283.46

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Solution

The fourth proportional to 607.46, 911.31 and 283.46 is: 425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.46 : 911.31 = 283.46 : x
  2. Step 2: Convert to fraction form
    607.46/911.31 = 283.46/x
  3. Step 3: Cross multiply
    607.46x = 911.31 × 283.46
  4. Step 4: Simplify right side
    607.46x = 258,319.93
  5. Step 5: Solve for x
    x = 258,319.93/607.46
  6. Step 6: Final answer
    x = 425.25

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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.