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Finding the Fourth Proportional to 607.41, 911.30 and 283.05

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Solution

The fourth proportional to 607.41, 911.30 and 283.05 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.41 : 911.30 = 283.05 : x
  2. Step 2: Convert to fraction form
    607.41/911.30 = 283.05/x
  3. Step 3: Cross multiply
    607.41x = 911.30 × 283.05
  4. Step 4: Simplify right side
    607.41x = 257,942.05
  5. Step 5: Solve for x
    x = 257,942.05/607.41
  6. Step 6: Final answer
    x = 424.66

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Why These Related Problems?

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