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Finding the Fourth Proportional to 940.67, 1,411.61 and 355.67

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Solution

The fourth proportional to 940.67, 1,411.61 and 355.67 is: 533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.67 : 1,411.61 = 355.67 : x
  2. Step 2: Convert to fraction form
    940.67/1,411.61 = 355.67/x
  3. Step 3: Cross multiply
    940.67x = 1,411.61 × 355.67
  4. Step 4: Simplify right side
    940.67x = 502,058.49
  5. Step 5: Solve for x
    x = 502,058.49/940.67
  6. Step 6: Final answer
    x = 533.73

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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.