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Finding the Fourth Proportional to 651.71, 978.06 and 241.11

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Solution

The fourth proportional to 651.71, 978.06 and 241.11 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.71 : 978.06 = 241.11 : x
  2. Step 2: Convert to fraction form
    651.71/978.06 = 241.11/x
  3. Step 3: Cross multiply
    651.71x = 978.06 × 241.11
  4. Step 4: Simplify right side
    651.71x = 235,820.05
  5. Step 5: Solve for x
    x = 235,820.05/651.71
  6. Step 6: Final answer
    x = 361.85

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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.