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Finding the Fourth Proportional to 695.89, 960.32 and 381.18

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Solution

The fourth proportional to 695.89, 960.32 and 381.18 is: 526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.89 : 960.32 = 381.18 : x
  2. Step 2: Convert to fraction form
    695.89/960.32 = 381.18/x
  3. Step 3: Cross multiply
    695.89x = 960.32 × 381.18
  4. Step 4: Simplify right side
    695.89x = 366,054.78
  5. Step 5: Solve for x
    x = 366,054.78/695.89
  6. Step 6: Final answer
    x = 526.02

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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.