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Finding the Fourth Proportional to 475.36, 655.78 and 268.36

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Solution

The fourth proportional to 475.36, 655.78 and 268.36 is: 370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.36 : 655.78 = 268.36 : x
  2. Step 2: Convert to fraction form
    475.36/655.78 = 268.36/x
  3. Step 3: Cross multiply
    475.36x = 655.78 × 268.36
  4. Step 4: Simplify right side
    475.36x = 175,985.12
  5. Step 5: Solve for x
    x = 175,985.12/475.36
  6. Step 6: Final answer
    x = 370.21

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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.