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Finding the Fourth Proportional to 841.64, 1,262.35 and 225.39

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Solution

The fourth proportional to 841.64, 1,262.35 and 225.39 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.64 : 1,262.35 = 225.39 : x
  2. Step 2: Convert to fraction form
    841.64/1,262.35 = 225.39/x
  3. Step 3: Cross multiply
    841.64x = 1,262.35 × 225.39
  4. Step 4: Simplify right side
    841.64x = 284,515.77
  5. Step 5: Solve for x
    x = 284,515.77/841.64
  6. Step 6: Final answer
    x = 338.05

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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.