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Finding the Fourth Proportional to 458.40, 688.20 and 367.20

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Solution

The fourth proportional to 458.40, 688.20 and 367.20 is: 551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.40 : 688.20 = 367.20 : x
  2. Step 2: Convert to fraction form
    458.40/688.20 = 367.20/x
  3. Step 3: Cross multiply
    458.40x = 688.20 × 367.20
  4. Step 4: Simplify right side
    458.40x = 252,707.04
  5. Step 5: Solve for x
    x = 252,707.04/458.40
  6. Step 6: Final answer
    x = 551.28

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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.