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Finding the Fourth Proportional to 505.64, 758.52 and 475.27

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Solution

The fourth proportional to 505.64, 758.52 and 475.27 is: 712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.64 : 758.52 = 475.27 : x
  2. Step 2: Convert to fraction form
    505.64/758.52 = 475.27/x
  3. Step 3: Cross multiply
    505.64x = 758.52 × 475.27
  4. Step 4: Simplify right side
    505.64x = 360,501.80
  5. Step 5: Solve for x
    x = 360,501.80/505.64
  6. Step 6: Final answer
    x = 712.96

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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.