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Finding the Fourth Proportional to 696.02, 960.24 and 463.54

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Solution

The fourth proportional to 696.02, 960.24 and 463.54 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.02 : 960.24 = 463.54 : x
  2. Step 2: Convert to fraction form
    696.02/960.24 = 463.54/x
  3. Step 3: Cross multiply
    696.02x = 960.24 × 463.54
  4. Step 4: Simplify right side
    696.02x = 445,109.65
  5. Step 5: Solve for x
    x = 445,109.65/696.02
  6. Step 6: Final answer
    x = 639.51

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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.