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Finding the Fourth Proportional to 842.70, 1,264.02 and 295.26

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Solution

The fourth proportional to 842.70, 1,264.02 and 295.26 is: 442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.70 : 1,264.02 = 295.26 : x
  2. Step 2: Convert to fraction form
    842.70/1,264.02 = 295.26/x
  3. Step 3: Cross multiply
    842.70x = 1,264.02 × 295.26
  4. Step 4: Simplify right side
    842.70x = 373,214.55
  5. Step 5: Solve for x
    x = 373,214.55/842.70
  6. Step 6: Final answer
    x = 442.88

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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.