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Finding the Fourth Proportional to 427.68, 590.13 and 241.07

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Solution

The fourth proportional to 427.68, 590.13 and 241.07 is: 332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.68 : 590.13 = 241.07 : x
  2. Step 2: Convert to fraction form
    427.68/590.13 = 241.07/x
  3. Step 3: Cross multiply
    427.68x = 590.13 × 241.07
  4. Step 4: Simplify right side
    427.68x = 142,259.69
  5. Step 5: Solve for x
    x = 142,259.69/427.68
  6. Step 6: Final answer
    x = 332.63

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