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Finding the Fourth Proportional to 283.08, 422.01 and 260.04

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Solution

The fourth proportional to 283.08, 422.01 and 260.04 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.08 : 422.01 = 260.04 : x
  2. Step 2: Convert to fraction form
    283.08/422.01 = 260.04/x
  3. Step 3: Cross multiply
    283.08x = 422.01 × 260.04
  4. Step 4: Simplify right side
    283.08x = 109,739.48
  5. Step 5: Solve for x
    x = 109,739.48/283.08
  6. Step 6: Final answer
    x = 387.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.