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Finding the Fourth Proportional to 440.97, 661.75 and 294.89

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Solution

The fourth proportional to 440.97, 661.75 and 294.89 is: 442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.97 : 661.75 = 294.89 : x
  2. Step 2: Convert to fraction form
    440.97/661.75 = 294.89/x
  3. Step 3: Cross multiply
    440.97x = 661.75 × 294.89
  4. Step 4: Simplify right side
    440.97x = 195,139.41
  5. Step 5: Solve for x
    x = 195,139.41/440.97
  6. Step 6: Final answer
    x = 442.52

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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.