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Finding the Fourth Proportional to 540.52, 745.64 and 330.64

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Solution

The fourth proportional to 540.52, 745.64 and 330.64 is: 456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.52 : 745.64 = 330.64 : x
  2. Step 2: Convert to fraction form
    540.52/745.64 = 330.64/x
  3. Step 3: Cross multiply
    540.52x = 745.64 × 330.64
  4. Step 4: Simplify right side
    540.52x = 246,538.41
  5. Step 5: Solve for x
    x = 246,538.41/540.52
  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.