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Finding the Fourth Proportional to 408.48, 562.72 and 310.16

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Solution

The fourth proportional to 408.48, 562.72 and 310.16 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.48 : 562.72 = 310.16 : x
  2. Step 2: Convert to fraction form
    408.48/562.72 = 310.16/x
  3. Step 3: Cross multiply
    408.48x = 562.72 × 310.16
  4. Step 4: Simplify right side
    408.48x = 174,533.24
  5. Step 5: Solve for x
    x = 174,533.24/408.48
  6. Step 6: Final answer
    x = 427.27

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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.