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Finding the Fourth Proportional to 696.66, 1,045.20 and 257.96

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Solution

The fourth proportional to 696.66, 1,045.20 and 257.96 is: 387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.66 : 1,045.20 = 257.96 : x
  2. Step 2: Convert to fraction form
    696.66/1,045.20 = 257.96/x
  3. Step 3: Cross multiply
    696.66x = 1,045.20 × 257.96
  4. Step 4: Simplify right side
    696.66x = 269,619.79
  5. Step 5: Solve for x
    x = 269,619.79/696.66
  6. Step 6: Final answer
    x = 387.02

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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.