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Finding the Fourth Proportional to 333.55, 460.27 and 209.23

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Solution

The fourth proportional to 333.55, 460.27 and 209.23 is: 288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.55 : 460.27 = 209.23 : x
  2. Step 2: Convert to fraction form
    333.55/460.27 = 209.23/x
  3. Step 3: Cross multiply
    333.55x = 460.27 × 209.23
  4. Step 4: Simplify right side
    333.55x = 96,302.29
  5. Step 5: Solve for x
    x = 96,302.29/333.55
  6. Step 6: Final answer
    x = 288.72

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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.