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Finding the Fourth Proportional to 540.61, 745 and 385.09

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Solution

The fourth proportional to 540.61, 745 and 385.09 is: 530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.61 : 745 = 385.09 : x
  2. Step 2: Convert to fraction form
    540.61/745 = 385.09/x
  3. Step 3: Cross multiply
    540.61x = 745 × 385.09
  4. Step 4: Simplify right side
    540.61x = 286,892.05
  5. Step 5: Solve for x
    x = 286,892.05/540.61
  6. Step 6: Final answer
    x = 530.68

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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.