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Finding the Fourth Proportional to 304.76, 420.72 and 206.68

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Solution

The fourth proportional to 304.76, 420.72 and 206.68 is: 285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.76 : 420.72 = 206.68 : x
  2. Step 2: Convert to fraction form
    304.76/420.72 = 206.68/x
  3. Step 3: Cross multiply
    304.76x = 420.72 × 206.68
  4. Step 4: Simplify right side
    304.76x = 86,954.41
  5. Step 5: Solve for x
    x = 86,954.41/304.76
  6. Step 6: Final answer
    x = 285.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.