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Finding the Fourth Proportional to 947.90, 1,421.84 and 331.60

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Solution

The fourth proportional to 947.90, 1,421.84 and 331.60 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.90 : 1,421.84 = 331.60 : x
  2. Step 2: Convert to fraction form
    947.90/1,421.84 = 331.60/x
  3. Step 3: Cross multiply
    947.90x = 1,421.84 × 331.60
  4. Step 4: Simplify right side
    947.90x = 471,480.49
  5. Step 5: Solve for x
    x = 471,480.49/947.90
  6. Step 6: Final answer
    x = 497.40

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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.