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Finding the Fourth Proportional to 947.66, 1,421.89 and 331.45

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Solution

The fourth proportional to 947.66, 1,421.89 and 331.45 is: 497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,421.89 = 331.45 : x
  2. Step 2: Convert to fraction form
    947.66/1,421.89 = 331.45/x
  3. Step 3: Cross multiply
    947.66x = 1,421.89 × 331.45
  4. Step 4: Simplify right side
    947.66x = 471,281.06
  5. Step 5: Solve for x
    x = 471,281.06/947.66
  6. Step 6: Final answer
    x = 497.31

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