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Finding the Fourth Proportional to 541.35, 812.05 and 450.70

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Solution

The fourth proportional to 541.35, 812.05 and 450.70 is: 676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.35 : 812.05 = 450.70 : x
  2. Step 2: Convert to fraction form
    541.35/812.05 = 450.70/x
  3. Step 3: Cross multiply
    541.35x = 812.05 × 450.70
  4. Step 4: Simplify right side
    541.35x = 365,987.78
  5. Step 5: Solve for x
    x = 365,987.78/541.35
  6. Step 6: Final answer
    x = 676.06

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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.