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Finding the Fourth Proportional to 696.25, 960.83 and 381.50

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Solution

The fourth proportional to 696.25, 960.83 and 381.50 is: 526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.25 : 960.83 = 381.50 : x
  2. Step 2: Convert to fraction form
    696.25/960.83 = 381.50/x
  3. Step 3: Cross multiply
    696.25x = 960.83 × 381.50
  4. Step 4: Simplify right side
    696.25x = 366,560.37
  5. Step 5: Solve for x
    x = 366,560.37/696.25
  6. Step 6: Final answer
    x = 526.48

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1.5x scale

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.