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Finding the Fourth Proportional to 264.57, 364.50 and 209.28

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Solution

The fourth proportional to 264.57, 364.50 and 209.28 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.57 : 364.50 = 209.28 : x
  2. Step 2: Convert to fraction form
    264.57/364.50 = 209.28/x
  3. Step 3: Cross multiply
    264.57x = 364.50 × 209.28
  4. Step 4: Simplify right side
    264.57x = 76,283.93
  5. Step 5: Solve for x
    x = 76,283.93/264.57
  6. Step 6: Final answer
    x = 288.34

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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.