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Finding the Fourth Proportional to 427.56, 640.68 and 324.72

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Solution

The fourth proportional to 427.56, 640.68 and 324.72 is: 486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.56 : 640.68 = 324.72 : x
  2. Step 2: Convert to fraction form
    427.56/640.68 = 324.72/x
  3. Step 3: Cross multiply
    427.56x = 640.68 × 324.72
  4. Step 4: Simplify right side
    427.56x = 208,041.61
  5. Step 5: Solve for x
    x = 208,041.61/427.56
  6. Step 6: Final answer
    x = 486.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.