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Finding the Fourth Proportional to 419.97, 630.24 and 257.16

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Solution

The fourth proportional to 419.97, 630.24 and 257.16 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.97 : 630.24 = 257.16 : x
  2. Step 2: Convert to fraction form
    419.97/630.24 = 257.16/x
  3. Step 3: Cross multiply
    419.97x = 630.24 × 257.16
  4. Step 4: Simplify right side
    419.97x = 162,072.52
  5. Step 5: Solve for x
    x = 162,072.52/419.97
  6. Step 6: Final answer
    x = 385.91

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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.