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Finding the Fourth Proportional to 435.94, 601.54 and 261.25

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Solution

The fourth proportional to 435.94, 601.54 and 261.25 is: 360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.94 : 601.54 = 261.25 : x
  2. Step 2: Convert to fraction form
    435.94/601.54 = 261.25/x
  3. Step 3: Cross multiply
    435.94x = 601.54 × 261.25
  4. Step 4: Simplify right side
    435.94x = 157,152.33
  5. Step 5: Solve for x
    x = 157,152.33/435.94
  6. Step 6: Final answer
    x = 360.49

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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.