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Finding the Fourth Proportional to 419.86, 628.86 and 257.05

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Solution

The fourth proportional to 419.86, 628.86 and 257.05 is: 385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.86 : 628.86 = 257.05 : x
  2. Step 2: Convert to fraction form
    419.86/628.86 = 257.05/x
  3. Step 3: Cross multiply
    419.86x = 628.86 × 257.05
  4. Step 4: Simplify right side
    419.86x = 161,648.46
  5. Step 5: Solve for x
    x = 161,648.46/419.86
  6. Step 6: Final answer
    x = 385.01

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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.