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Finding the Fourth Proportional to 541.20, 812.08 and 306.80

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Solution

The fourth proportional to 541.20, 812.08 and 306.80 is: 460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.20 : 812.08 = 306.80 : x
  2. Step 2: Convert to fraction form
    541.20/812.08 = 306.80/x
  3. Step 3: Cross multiply
    541.20x = 812.08 × 306.80
  4. Step 4: Simplify right side
    541.20x = 249,146.14
  5. Step 5: Solve for x
    x = 249,146.14/541.20
  6. Step 6: Final answer
    x = 460.36

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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.