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Finding the Fourth Proportional to 652.22, 977.74 and 241.25

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Solution

The fourth proportional to 652.22, 977.74 and 241.25 is: 361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.22 : 977.74 = 241.25 : x
  2. Step 2: Convert to fraction form
    652.22/977.74 = 241.25/x
  3. Step 3: Cross multiply
    652.22x = 977.74 × 241.25
  4. Step 4: Simplify right side
    652.22x = 235,881.62
  5. Step 5: Solve for x
    x = 235,881.62/652.22
  6. Step 6: Final answer
    x = 361.66

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