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Finding the Fourth Proportional to 841.54, 1,262.61 and 293.80

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Solution

The fourth proportional to 841.54, 1,262.61 and 293.80 is: 440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.54 : 1,262.61 = 293.80 : x
  2. Step 2: Convert to fraction form
    841.54/1,262.61 = 293.80/x
  3. Step 3: Cross multiply
    841.54x = 1,262.61 × 293.80
  4. Step 4: Simplify right side
    841.54x = 370,958.41
  5. Step 5: Solve for x
    x = 370,958.41/841.54
  6. Step 6: Final answer
    x = 440.81

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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.