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Finding the Fourth Proportional to 401.22, 601.63 and 253.01

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Solution

The fourth proportional to 401.22, 601.63 and 253.01 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.22 : 601.63 = 253.01 : x
  2. Step 2: Convert to fraction form
    401.22/601.63 = 253.01/x
  3. Step 3: Cross multiply
    401.22x = 601.63 × 253.01
  4. Step 4: Simplify right side
    401.22x = 152,218.41
  5. Step 5: Solve for x
    x = 152,218.41/401.22
  6. Step 6: Final answer
    x = 379.39

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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.