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Finding the Fourth Proportional to 417.42, 626.94 and 255.42

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Solution

The fourth proportional to 417.42, 626.94 and 255.42 is: 383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 626.94 = 255.42 : x
  2. Step 2: Convert to fraction form
    417.42/626.94 = 255.42/x
  3. Step 3: Cross multiply
    417.42x = 626.94 × 255.42
  4. Step 4: Simplify right side
    417.42x = 160,133.01
  5. Step 5: Solve for x
    x = 160,133.01/417.42
  6. Step 6: Final answer
    x = 383.63

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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.