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Finding the Fourth Proportional to 405.60, 606.80 and 367.20

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Solution

The fourth proportional to 405.60, 606.80 and 367.20 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 606.80 = 367.20 : x
  2. Step 2: Convert to fraction form
    405.60/606.80 = 367.20/x
  3. Step 3: Cross multiply
    405.60x = 606.80 × 367.20
  4. Step 4: Simplify right side
    405.60x = 222,816.96
  5. Step 5: Solve for x
    x = 222,816.96/405.60
  6. Step 6: Final answer
    x = 549.35

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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.