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Finding the Fourth Proportional to 492.21, 679.47 and 317.64

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Solution

The fourth proportional to 492.21, 679.47 and 317.64 is: 438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 679.47 = 317.64 : x
  2. Step 2: Convert to fraction form
    492.21/679.47 = 317.64/x
  3. Step 3: Cross multiply
    492.21x = 679.47 × 317.64
  4. Step 4: Simplify right side
    492.21x = 215,826.85
  5. Step 5: Solve for x
    x = 215,826.85/492.21
  6. Step 6: Final answer
    x = 438.49

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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.