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Finding the Fourth Proportional to 506.08, 755.15 and 475.12

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Solution

The fourth proportional to 506.08, 755.15 and 475.12 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.08 : 755.15 = 475.12 : x
  2. Step 2: Convert to fraction form
    506.08/755.15 = 475.12/x
  3. Step 3: Cross multiply
    506.08x = 755.15 × 475.12
  4. Step 4: Simplify right side
    506.08x = 358,786.87
  5. Step 5: Solve for x
    x = 358,786.87/506.08
  6. Step 6: Final answer
    x = 708.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.