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Finding the Fourth Proportional to 720.66, 994.98 and 472.41

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Solution

The fourth proportional to 720.66, 994.98 and 472.41 is: 652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.66 : 994.98 = 472.41 : x
  2. Step 2: Convert to fraction form
    720.66/994.98 = 472.41/x
  3. Step 3: Cross multiply
    720.66x = 994.98 × 472.41
  4. Step 4: Simplify right side
    720.66x = 470,040.27
  5. Step 5: Solve for x
    x = 470,040.27/720.66
  6. Step 6: Final answer
    x = 652.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.