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Finding the Fourth Proportional to 386.72, 578.88 and 241.76

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Solution

The fourth proportional to 386.72, 578.88 and 241.76 is: 361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.72 : 578.88 = 241.76 : x
  2. Step 2: Convert to fraction form
    386.72/578.88 = 241.76/x
  3. Step 3: Cross multiply
    386.72x = 578.88 × 241.76
  4. Step 4: Simplify right side
    386.72x = 139,950.03
  5. Step 5: Solve for x
    x = 139,950.03/386.72
  6. Step 6: Final answer
    x = 361.89

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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.