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Finding the Fourth Proportional to 488.46, 731.50 and 257.54

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Solution

The fourth proportional to 488.46, 731.50 and 257.54 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.46 : 731.50 = 257.54 : x
  2. Step 2: Convert to fraction form
    488.46/731.50 = 257.54/x
  3. Step 3: Cross multiply
    488.46x = 731.50 × 257.54
  4. Step 4: Simplify right side
    488.46x = 188,390.51
  5. Step 5: Solve for x
    x = 188,390.51/488.46
  6. Step 6: Final answer
    x = 385.68

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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.