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Finding the Fourth Proportional to 652.06, 978.44 and 241.14

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Solution

The fourth proportional to 652.06, 978.44 and 241.14 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 978.44 = 241.14 : x
  2. Step 2: Convert to fraction form
    652.06/978.44 = 241.14/x
  3. Step 3: Cross multiply
    652.06x = 978.44 × 241.14
  4. Step 4: Simplify right side
    652.06x = 235,941.02
  5. Step 5: Solve for x
    x = 235,941.02/652.06
  6. Step 6: Final answer
    x = 361.84

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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.