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Finding the Fourth Proportional to 303.69, 419.01 and 210.33

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Solution

The fourth proportional to 303.69, 419.01 and 210.33 is: 290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.69 : 419.01 = 210.33 : x
  2. Step 2: Convert to fraction form
    303.69/419.01 = 210.33/x
  3. Step 3: Cross multiply
    303.69x = 419.01 × 210.33
  4. Step 4: Simplify right side
    303.69x = 88,130.37
  5. Step 5: Solve for x
    x = 88,130.37/303.69
  6. Step 6: Final answer
    x = 290.20

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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.