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Finding the Fourth Proportional to 540.32, 745.64 and 330.86

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Solution

The fourth proportional to 540.32, 745.64 and 330.86 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.32 : 745.64 = 330.86 : x
  2. Step 2: Convert to fraction form
    540.32/745.64 = 330.86/x
  3. Step 3: Cross multiply
    540.32x = 745.64 × 330.86
  4. Step 4: Simplify right side
    540.32x = 246,700.80
  5. Step 5: Solve for x
    x = 246,700.80/540.32
  6. Step 6: Final answer
    x = 456.58

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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.