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Finding the Fourth Proportional to 318.36, 475.53 and 256.26

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Solution

The fourth proportional to 318.36, 475.53 and 256.26 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.36 : 475.53 = 256.26 : x
  2. Step 2: Convert to fraction form
    318.36/475.53 = 256.26/x
  3. Step 3: Cross multiply
    318.36x = 475.53 × 256.26
  4. Step 4: Simplify right side
    318.36x = 121,859.32
  5. Step 5: Solve for x
    x = 121,859.32/318.36
  6. Step 6: Final answer
    x = 382.77

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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.