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Finding the Fourth Proportional to 541.40, 810.28 and 450.28

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Solution

The fourth proportional to 541.40, 810.28 and 450.28 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 810.28 = 450.28 : x
  2. Step 2: Convert to fraction form
    541.40/810.28 = 450.28/x
  3. Step 3: Cross multiply
    541.40x = 810.28 × 450.28
  4. Step 4: Simplify right side
    541.40x = 364,852.88
  5. Step 5: Solve for x
    x = 364,852.88/541.40
  6. Step 6: Final answer
    x = 673.91

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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.