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Finding the Fourth Proportional to 540.23, 745.54 and 330.50

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Solution

The fourth proportional to 540.23, 745.54 and 330.50 is: 456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.23 : 745.54 = 330.50 : x
  2. Step 2: Convert to fraction form
    540.23/745.54 = 330.50/x
  3. Step 3: Cross multiply
    540.23x = 745.54 × 330.50
  4. Step 4: Simplify right side
    540.23x = 246,402.01
  5. Step 5: Solve for x
    x = 246,402.01/540.23
  6. Step 6: Final answer
    x = 456.11

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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.