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Finding the Fourth Proportional to 948.47, 1,421.73 and 363.31

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Solution

The fourth proportional to 948.47, 1,421.73 and 363.31 is: 544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.47 : 1,421.73 = 363.31 : x
  2. Step 2: Convert to fraction form
    948.47/1,421.73 = 363.31/x
  3. Step 3: Cross multiply
    948.47x = 1,421.73 × 363.31
  4. Step 4: Simplify right side
    948.47x = 516,528.73
  5. Step 5: Solve for x
    x = 516,528.73/948.47
  6. Step 6: Final answer
    x = 544.59

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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.