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Finding the Fourth Proportional to 318.96, 475.24 and 304.98

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Solution

The fourth proportional to 318.96, 475.24 and 304.98 is: 454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.96 : 475.24 = 304.98 : x
  2. Step 2: Convert to fraction form
    318.96/475.24 = 304.98/x
  3. Step 3: Cross multiply
    318.96x = 475.24 × 304.98
  4. Step 4: Simplify right side
    318.96x = 144,938.70
  5. Step 5: Solve for x
    x = 144,938.70/318.96
  6. Step 6: Final answer
    x = 454.41

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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.