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Finding the Fourth Proportional to 490.48, 734.64 and 346.32

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Solution

The fourth proportional to 490.48, 734.64 and 346.32 is: 518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.48 : 734.64 = 346.32 : x
  2. Step 2: Convert to fraction form
    490.48/734.64 = 346.32/x
  3. Step 3: Cross multiply
    490.48x = 734.64 × 346.32
  4. Step 4: Simplify right side
    490.48x = 254,420.52
  5. Step 5: Solve for x
    x = 254,420.52/490.48
  6. Step 6: Final answer
    x = 518.72

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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.