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Finding the Fourth Proportional to 302.23, 417.61 and 239.39

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Solution

The fourth proportional to 302.23, 417.61 and 239.39 is: 330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 417.61 = 239.39 : x
  2. Step 2: Convert to fraction form
    302.23/417.61 = 239.39/x
  3. Step 3: Cross multiply
    302.23x = 417.61 × 239.39
  4. Step 4: Simplify right side
    302.23x = 99,970.09
  5. Step 5: Solve for x
    x = 99,970.09/302.23
  6. Step 6: Final answer
    x = 330.77

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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.