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Finding the Fourth Proportional to 417.78, 626.01 and 263.68

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Solution

The fourth proportional to 417.78, 626.01 and 263.68 is: 395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.78 : 626.01 = 263.68 : x
  2. Step 2: Convert to fraction form
    417.78/626.01 = 263.68/x
  3. Step 3: Cross multiply
    417.78x = 626.01 × 263.68
  4. Step 4: Simplify right side
    417.78x = 165,066.32
  5. Step 5: Solve for x
    x = 165,066.32/417.78
  6. Step 6: Final answer
    x = 395.10

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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.