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Finding the Fourth Proportional to 318.95, 477.74 and 241.94

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Solution

The fourth proportional to 318.95, 477.74 and 241.94 is: 362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.95 : 477.74 = 241.94 : x
  2. Step 2: Convert to fraction form
    318.95/477.74 = 241.94/x
  3. Step 3: Cross multiply
    318.95x = 477.74 × 241.94
  4. Step 4: Simplify right side
    318.95x = 115,586.21
  5. Step 5: Solve for x
    x = 115,586.21/318.95
  6. Step 6: Final answer
    x = 362.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.