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Finding the Fourth Proportional to 696.06, 960.38 and 416.17

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Solution

The fourth proportional to 696.06, 960.38 and 416.17 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 960.38 = 416.17 : x
  2. Step 2: Convert to fraction form
    696.06/960.38 = 416.17/x
  3. Step 3: Cross multiply
    696.06x = 960.38 × 416.17
  4. Step 4: Simplify right side
    696.06x = 399,681.34
  5. Step 5: Solve for x
    x = 399,681.34/696.06
  6. Step 6: Final answer
    x = 574.21

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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.