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Finding the Fourth Proportional to 401.49, 602.51 and 239.22

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Solution

The fourth proportional to 401.49, 602.51 and 239.22 is: 358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.49 : 602.51 = 239.22 : x
  2. Step 2: Convert to fraction form
    401.49/602.51 = 239.22/x
  3. Step 3: Cross multiply
    401.49x = 602.51 × 239.22
  4. Step 4: Simplify right side
    401.49x = 144,131.25
  5. Step 5: Solve for x
    x = 144,131.25/401.49
  6. Step 6: Final answer
    x = 358.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.