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Finding the Fourth Proportional to 305.44, 457.74 and 209.32

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Solution

The fourth proportional to 305.44, 457.74 and 209.32 is: 313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 457.74 = 209.32 : x
  2. Step 2: Convert to fraction form
    305.44/457.74 = 209.32/x
  3. Step 3: Cross multiply
    305.44x = 457.74 × 209.32
  4. Step 4: Simplify right side
    305.44x = 95,814.14
  5. Step 5: Solve for x
    x = 95,814.14/305.44
  6. Step 6: Final answer
    x = 313.69

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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.