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Finding the Fourth Proportional to 696.90, 961.73 and 382.16

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Solution

The fourth proportional to 696.90, 961.73 and 382.16 is: 527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 961.73 = 382.16 : x
  2. Step 2: Convert to fraction form
    696.90/961.73 = 382.16/x
  3. Step 3: Cross multiply
    696.90x = 961.73 × 382.16
  4. Step 4: Simplify right side
    696.90x = 367,529.93
  5. Step 5: Solve for x
    x = 367,529.93/696.90
  6. Step 6: Final answer
    x = 527.38

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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.