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Finding the Fourth Proportional to 417.34, 626.16 and 255.14

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Solution

The fourth proportional to 417.34, 626.16 and 255.14 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.34 : 626.16 = 255.14 : x
  2. Step 2: Convert to fraction form
    417.34/626.16 = 255.14/x
  3. Step 3: Cross multiply
    417.34x = 626.16 × 255.14
  4. Step 4: Simplify right side
    417.34x = 159,758.46
  5. Step 5: Solve for x
    x = 159,758.46/417.34
  6. Step 6: Final answer
    x = 382.80

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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.