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Finding the Fourth Proportional to 401.59, 601.73 and 141.45

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Solution

The fourth proportional to 401.59, 601.73 and 141.45 is: 211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.59 : 601.73 = 141.45 : x
  2. Step 2: Convert to fraction form
    401.59/601.73 = 141.45/x
  3. Step 3: Cross multiply
    401.59x = 601.73 × 141.45
  4. Step 4: Simplify right side
    401.59x = 85,114.71
  5. Step 5: Solve for x
    x = 85,114.71/401.59
  6. Step 6: Final answer
    x = 211.94

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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.