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Finding the Fourth Proportional to 427.42, 589.90 and 261.60

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Solution

The fourth proportional to 427.42, 589.90 and 261.60 is: 361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.42 : 589.90 = 261.60 : x
  2. Step 2: Convert to fraction form
    427.42/589.90 = 261.60/x
  3. Step 3: Cross multiply
    427.42x = 589.90 × 261.60
  4. Step 4: Simplify right side
    427.42x = 154,316.53
  5. Step 5: Solve for x
    x = 154,316.53/427.42
  6. Step 6: Final answer
    x = 361.05

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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.