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Finding the Fourth Proportional to 841.39, 1,262.19 and 293.61

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Solution

The fourth proportional to 841.39, 1,262.19 and 293.61 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.39 : 1,262.19 = 293.61 : x
  2. Step 2: Convert to fraction form
    841.39/1,262.19 = 293.61/x
  3. Step 3: Cross multiply
    841.39x = 1,262.19 × 293.61
  4. Step 4: Simplify right side
    841.39x = 370,591.61
  5. Step 5: Solve for x
    x = 370,591.61/841.39
  6. Step 6: Final answer
    x = 440.45

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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.