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Finding the Fourth Proportional to 488.21, 731.63 and 228.08

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Solution

The fourth proportional to 488.21, 731.63 and 228.08 is: 341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 731.63 = 228.08 : x
  2. Step 2: Convert to fraction form
    488.21/731.63 = 228.08/x
  3. Step 3: Cross multiply
    488.21x = 731.63 × 228.08
  4. Step 4: Simplify right side
    488.21x = 166,872.57
  5. Step 5: Solve for x
    x = 166,872.57/488.21
  6. Step 6: Final answer
    x = 341.81

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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.