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Finding the Fourth Proportional to 696.31, 960.93 and 381.58

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Solution

The fourth proportional to 696.31, 960.93 and 381.58 is: 526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.31 : 960.93 = 381.58 : x
  2. Step 2: Convert to fraction form
    696.31/960.93 = 381.58/x
  3. Step 3: Cross multiply
    696.31x = 960.93 × 381.58
  4. Step 4: Simplify right side
    696.31x = 366,671.67
  5. Step 5: Solve for x
    x = 366,671.67/696.31
  6. Step 6: Final answer
    x = 526.59

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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.