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Finding the Fourth Proportional to 695.32, 1,043.22 and 256.48

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Solution

The fourth proportional to 695.32, 1,043.22 and 256.48 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.32 : 1,043.22 = 256.48 : x
  2. Step 2: Convert to fraction form
    695.32/1,043.22 = 256.48/x
  3. Step 3: Cross multiply
    695.32x = 1,043.22 × 256.48
  4. Step 4: Simplify right side
    695.32x = 267,565.07
  5. Step 5: Solve for x
    x = 267,565.07/695.32
  6. Step 6: Final answer
    x = 384.81

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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.