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Finding the Fourth Proportional to 421.44, 628.11 and 418.08

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Solution

The fourth proportional to 421.44, 628.11 and 418.08 is: 623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 628.11 = 418.08 : x
  2. Step 2: Convert to fraction form
    421.44/628.11 = 418.08/x
  3. Step 3: Cross multiply
    421.44x = 628.11 × 418.08
  4. Step 4: Simplify right side
    421.44x = 262,600.23
  5. Step 5: Solve for x
    x = 262,600.23/421.44
  6. Step 6: Final answer
    x = 623.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.