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Finding the Fourth Proportional to 441.56, 661.88 and 210.47

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Solution

The fourth proportional to 441.56, 661.88 and 210.47 is: 315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.56 : 661.88 = 210.47 : x
  2. Step 2: Convert to fraction form
    441.56/661.88 = 210.47/x
  3. Step 3: Cross multiply
    441.56x = 661.88 × 210.47
  4. Step 4: Simplify right side
    441.56x = 139,303.10
  5. Step 5: Solve for x
    x = 139,303.10/441.56
  6. Step 6: Final answer
    x = 315.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.