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Finding the Fourth Proportional to 333.48, 460.10 and 209.06

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Solution

The fourth proportional to 333.48, 460.10 and 209.06 is: 288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 460.10 = 209.06 : x
  2. Step 2: Convert to fraction form
    333.48/460.10 = 209.06/x
  3. Step 3: Cross multiply
    333.48x = 460.10 × 209.06
  4. Step 4: Simplify right side
    333.48x = 96,188.51
  5. Step 5: Solve for x
    x = 96,188.51/333.48
  6. Step 6: Final answer
    x = 288.44

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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.