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Finding the Fourth Proportional to 330.77, 456.57 and 206.36

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Solution

The fourth proportional to 330.77, 456.57 and 206.36 is: 284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.77 : 456.57 = 206.36 : x
  2. Step 2: Convert to fraction form
    330.77/456.57 = 206.36/x
  3. Step 3: Cross multiply
    330.77x = 456.57 × 206.36
  4. Step 4: Simplify right side
    330.77x = 94,215.50
  5. Step 5: Solve for x
    x = 94,215.50/330.77
  6. Step 6: Final answer
    x = 284.84

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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.