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Finding the Fourth Proportional to 696.29, 960.88 and 381.55

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Solution

The fourth proportional to 696.29, 960.88 and 381.55 is: 526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.29 : 960.88 = 381.55 : x
  2. Step 2: Convert to fraction form
    696.29/960.88 = 381.55/x
  3. Step 3: Cross multiply
    696.29x = 960.88 × 381.55
  4. Step 4: Simplify right side
    696.29x = 366,623.76
  5. Step 5: Solve for x
    x = 366,623.76/696.29
  6. Step 6: Final answer
    x = 526.54

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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.