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Finding the Fourth Proportional to 420.17, 629.44 and 255.69

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Solution

The fourth proportional to 420.17, 629.44 and 255.69 is: 383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.17 : 629.44 = 255.69 : x
  2. Step 2: Convert to fraction form
    420.17/629.44 = 255.69/x
  3. Step 3: Cross multiply
    420.17x = 629.44 × 255.69
  4. Step 4: Simplify right side
    420.17x = 160,941.51
  5. Step 5: Solve for x
    x = 160,941.51/420.17
  6. Step 6: Final answer
    x = 383.04

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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.