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Finding the Fourth Proportional to 418.04, 626.62 and 264.06

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Solution

The fourth proportional to 418.04, 626.62 and 264.06 is: 395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.04 : 626.62 = 264.06 : x
  2. Step 2: Convert to fraction form
    418.04/626.62 = 264.06/x
  3. Step 3: Cross multiply
    418.04x = 626.62 × 264.06
  4. Step 4: Simplify right side
    418.04x = 165,465.28
  5. Step 5: Solve for x
    x = 165,465.28/418.04
  6. Step 6: Final answer
    x = 395.81

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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.