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Finding the Fourth Proportional to 435.84, 601.08 and 280.80

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Solution

The fourth proportional to 435.84, 601.08 and 280.80 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 601.08 = 280.80 : x
  2. Step 2: Convert to fraction form
    435.84/601.08 = 280.80/x
  3. Step 3: Cross multiply
    435.84x = 601.08 × 280.80
  4. Step 4: Simplify right side
    435.84x = 168,783.26
  5. Step 5: Solve for x
    x = 168,783.26/435.84
  6. Step 6: Final answer
    x = 387.26

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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.