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Finding the Fourth Proportional to 435.94, 601.50 and 261.34

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Solution

The fourth proportional to 435.94, 601.50 and 261.34 is: 360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.94 : 601.50 = 261.34 : x
  2. Step 2: Convert to fraction form
    435.94/601.50 = 261.34/x
  3. Step 3: Cross multiply
    435.94x = 601.50 × 261.34
  4. Step 4: Simplify right side
    435.94x = 157,196.01
  5. Step 5: Solve for x
    x = 157,196.01/435.94
  6. Step 6: Final answer
    x = 360.59

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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.