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Finding the Fourth Proportional to 329.59, 455.05 and 205.30

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Solution

The fourth proportional to 329.59, 455.05 and 205.30 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.59 : 455.05 = 205.30 : x
  2. Step 2: Convert to fraction form
    329.59/455.05 = 205.30/x
  3. Step 3: Cross multiply
    329.59x = 455.05 × 205.30
  4. Step 4: Simplify right side
    329.59x = 93,421.77
  5. Step 5: Solve for x
    x = 93,421.77/329.59
  6. Step 6: Final answer
    x = 283.45

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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.