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Finding the Fourth Proportional to 443.56, 611.74 and 419.24

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Solution

The fourth proportional to 443.56, 611.74 and 419.24 is: 578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.56 : 611.74 = 419.24 : x
  2. Step 2: Convert to fraction form
    443.56/611.74 = 419.24/x
  3. Step 3: Cross multiply
    443.56x = 611.74 × 419.24
  4. Step 4: Simplify right side
    443.56x = 256,465.88
  5. Step 5: Solve for x
    x = 256,465.88/443.56
  6. Step 6: Final answer
    x = 578.20

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Why These Related Problems?

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