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Finding the Fourth Proportional to 315.32, 475.19 and 315.32

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Solution

The fourth proportional to 315.32, 475.19 and 315.32 is: 475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.32 : 475.19 = 315.32 : x
  2. Step 2: Convert to fraction form
    315.32/475.19 = 315.32/x
  3. Step 3: Cross multiply
    315.32x = 475.19 × 315.32
  4. Step 4: Simplify right side
    315.32x = 149,836.91
  5. Step 5: Solve for x
    x = 149,836.91/315.32
  6. Step 6: Final answer
    x = 475.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.