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Finding the Fourth Proportional to 427.49, 590 and 241.05

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Solution

The fourth proportional to 427.49, 590 and 241.05 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.49 : 590 = 241.05 : x
  2. Step 2: Convert to fraction form
    427.49/590 = 241.05/x
  3. Step 3: Cross multiply
    427.49x = 590 × 241.05
  4. Step 4: Simplify right side
    427.49x = 142,219.50
  5. Step 5: Solve for x
    x = 142,219.50/427.49
  6. Step 6: Final answer
    x = 332.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.