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Finding the Fourth Proportional to 485.40, 727.72 and 241.80

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Solution

The fourth proportional to 485.40, 727.72 and 241.80 is: 362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.40 : 727.72 = 241.80 : x
  2. Step 2: Convert to fraction form
    485.40/727.72 = 241.80/x
  3. Step 3: Cross multiply
    485.40x = 727.72 × 241.80
  4. Step 4: Simplify right side
    485.40x = 175,962.70
  5. Step 5: Solve for x
    x = 175,962.70/485.40
  6. Step 6: Final answer
    x = 362.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.