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Finding the Fourth Proportional to 505.45, 696.27 and 422.53

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Solution

The fourth proportional to 505.45, 696.27 and 422.53 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.45 : 696.27 = 422.53 : x
  2. Step 2: Convert to fraction form
    505.45/696.27 = 422.53/x
  3. Step 3: Cross multiply
    505.45x = 696.27 × 422.53
  4. Step 4: Simplify right side
    505.45x = 294,194.96
  5. Step 5: Solve for x
    x = 294,194.96/505.45
  6. Step 6: Final answer
    x = 582.05

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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.