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Finding the Fourth Proportional to 541.88, 747.80 and 309

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Solution

The fourth proportional to 541.88, 747.80 and 309 is: 426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.88 : 747.80 = 309 : x
  2. Step 2: Convert to fraction form
    541.88/747.80 = 309/x
  3. Step 3: Cross multiply
    541.88x = 747.80 × 309
  4. Step 4: Simplify right side
    541.88x = 231,068.66
  5. Step 5: Solve for x
    x = 231,068.66/541.88
  6. Step 6: Final answer
    x = 426.42

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