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Finding the Fourth Proportional to 333.64, 461.06 and 283.83

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Solution

The fourth proportional to 333.64, 461.06 and 283.83 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.64 : 461.06 = 283.83 : x
  2. Step 2: Convert to fraction form
    333.64/461.06 = 283.83/x
  3. Step 3: Cross multiply
    333.64x = 461.06 × 283.83
  4. Step 4: Simplify right side
    333.64x = 130,862.66
  5. Step 5: Solve for x
    x = 130,862.66/333.64
  6. Step 6: Final answer
    x = 392.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.