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Finding the Fourth Proportional to 541.56, 811.58 and 419.25

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Solution

The fourth proportional to 541.56, 811.58 and 419.25 is: 628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 811.58 = 419.25 : x
  2. Step 2: Convert to fraction form
    541.56/811.58 = 419.25/x
  3. Step 3: Cross multiply
    541.56x = 811.58 × 419.25
  4. Step 4: Simplify right side
    541.56x = 340,252.82
  5. Step 5: Solve for x
    x = 340,252.82/541.56
  6. Step 6: Final answer
    x = 628.28

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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.