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Finding the Fourth Proportional to 304.32, 455.97 and 206.70

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Solution

The fourth proportional to 304.32, 455.97 and 206.70 is: 309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 455.97 = 206.70 : x
  2. Step 2: Convert to fraction form
    304.32/455.97 = 206.70/x
  3. Step 3: Cross multiply
    304.32x = 455.97 × 206.70
  4. Step 4: Simplify right side
    304.32x = 94,249.00
  5. Step 5: Solve for x
    x = 94,249.00/304.32
  6. Step 6: Final answer
    x = 309.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.