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Finding the Fourth Proportional to 696.14, 960.62 and 381.39

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Solution

The fourth proportional to 696.14, 960.62 and 381.39 is: 526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.14 : 960.62 = 381.39 : x
  2. Step 2: Convert to fraction form
    696.14/960.62 = 381.39/x
  3. Step 3: Cross multiply
    696.14x = 960.62 × 381.39
  4. Step 4: Simplify right side
    696.14x = 366,368.95
  5. Step 5: Solve for x
    x = 366,368.95/696.14
  6. Step 6: Final answer
    x = 526.29

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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.