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Finding the Fourth Proportional to 441.63, 661.53 and 210.18

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Solution

The fourth proportional to 441.63, 661.53 and 210.18 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.63 : 661.53 = 210.18 : x
  2. Step 2: Convert to fraction form
    441.63/661.53 = 210.18/x
  3. Step 3: Cross multiply
    441.63x = 661.53 × 210.18
  4. Step 4: Simplify right side
    441.63x = 139,040.38
  5. Step 5: Solve for x
    x = 139,040.38/441.63
  6. Step 6: Final answer
    x = 314.83

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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.