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Finding the Fourth Proportional to 842.29, 1,262.57 and 294.10

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Solution

The fourth proportional to 842.29, 1,262.57 and 294.10 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.29 : 1,262.57 = 294.10 : x
  2. Step 2: Convert to fraction form
    842.29/1,262.57 = 294.10/x
  3. Step 3: Cross multiply
    842.29x = 1,262.57 × 294.10
  4. Step 4: Simplify right side
    842.29x = 371,317.21
  5. Step 5: Solve for x
    x = 371,317.21/842.29
  6. Step 6: Final answer
    x = 440.84

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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.