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Finding the Fourth Proportional to 696.56, 961.24 and 381.84

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Solution

The fourth proportional to 696.56, 961.24 and 381.84 is: 526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.56 : 961.24 = 381.84 : x
  2. Step 2: Convert to fraction form
    696.56/961.24 = 381.84/x
  3. Step 3: Cross multiply
    696.56x = 961.24 × 381.84
  4. Step 4: Simplify right side
    696.56x = 367,038.93
  5. Step 5: Solve for x
    x = 367,038.93/696.56
  6. Step 6: Final answer
    x = 526.93

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Why These Related Problems?

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