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Finding the Fourth Proportional to 945.07, 1,417.80 and 329.27

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Solution

The fourth proportional to 945.07, 1,417.80 and 329.27 is: 493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.07 : 1,417.80 = 329.27 : x
  2. Step 2: Convert to fraction form
    945.07/1,417.80 = 329.27/x
  3. Step 3: Cross multiply
    945.07x = 1,417.80 × 329.27
  4. Step 4: Simplify right side
    945.07x = 466,839.01
  5. Step 5: Solve for x
    x = 466,839.01/945.07
  6. Step 6: Final answer
    x = 493.97

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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.