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Finding the Fourth Proportional to 640.02, 960.14 and 315.42

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Solution

The fourth proportional to 640.02, 960.14 and 315.42 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.02 : 960.14 = 315.42 : x
  2. Step 2: Convert to fraction form
    640.02/960.14 = 315.42/x
  3. Step 3: Cross multiply
    640.02x = 960.14 × 315.42
  4. Step 4: Simplify right side
    640.02x = 302,847.36
  5. Step 5: Solve for x
    x = 302,847.36/640.02
  6. Step 6: Final answer
    x = 473.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.