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Finding the Fourth Proportional to 514.32, 709.90 and 481.52

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Solution

The fourth proportional to 514.32, 709.90 and 481.52 is: 664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.32 : 709.90 = 481.52 : x
  2. Step 2: Convert to fraction form
    514.32/709.90 = 481.52/x
  3. Step 3: Cross multiply
    514.32x = 709.90 × 481.52
  4. Step 4: Simplify right side
    514.32x = 341,831.05
  5. Step 5: Solve for x
    x = 341,831.05/514.32
  6. Step 6: Final answer
    x = 664.63

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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.