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Finding the Fourth Proportional to 333.85, 460.69 and 209.50

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Solution

The fourth proportional to 333.85, 460.69 and 209.50 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.85 : 460.69 = 209.50 : x
  2. Step 2: Convert to fraction form
    333.85/460.69 = 209.50/x
  3. Step 3: Cross multiply
    333.85x = 460.69 × 209.50
  4. Step 4: Simplify right side
    333.85x = 96,513.51
  5. Step 5: Solve for x
    x = 96,513.51/333.85
  6. Step 6: Final answer
    x = 289.10

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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.