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Finding the Fourth Proportional to 441.57, 661.77 and 210.53

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Solution

The fourth proportional to 441.57, 661.77 and 210.53 is: 315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.57 : 661.77 = 210.53 : x
  2. Step 2: Convert to fraction form
    441.57/661.77 = 210.53/x
  3. Step 3: Cross multiply
    441.57x = 661.77 × 210.53
  4. Step 4: Simplify right side
    441.57x = 139,322.96
  5. Step 5: Solve for x
    x = 139,322.96/441.57
  6. Step 6: Final answer
    x = 315.52

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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.