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Finding the Fourth Proportional to 640.33, 960.20 and 293.77

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Solution

The fourth proportional to 640.33, 960.20 and 293.77 is: 440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.33 : 960.20 = 293.77 : x
  2. Step 2: Convert to fraction form
    640.33/960.20 = 293.77/x
  3. Step 3: Cross multiply
    640.33x = 960.20 × 293.77
  4. Step 4: Simplify right side
    640.33x = 282,077.95
  5. Step 5: Solve for x
    x = 282,077.95/640.33
  6. Step 6: Final answer
    x = 440.52

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1.5x scale

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.