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Finding the Fourth Proportional to 488.44, 731.69 and 256.98

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Solution

The fourth proportional to 488.44, 731.69 and 256.98 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.44 : 731.69 = 256.98 : x
  2. Step 2: Convert to fraction form
    488.44/731.69 = 256.98/x
  3. Step 3: Cross multiply
    488.44x = 731.69 × 256.98
  4. Step 4: Simplify right side
    488.44x = 188,028.41
  5. Step 5: Solve for x
    x = 188,028.41/488.44
  6. Step 6: Final answer
    x = 384.96

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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.