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Finding the Fourth Proportional to 456.40, 685.20 and 365.20

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Solution

The fourth proportional to 456.40, 685.20 and 365.20 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.40 : 685.20 = 365.20 : x
  2. Step 2: Convert to fraction form
    456.40/685.20 = 365.20/x
  3. Step 3: Cross multiply
    456.40x = 685.20 × 365.20
  4. Step 4: Simplify right side
    456.40x = 250,235.04
  5. Step 5: Solve for x
    x = 250,235.04/456.40
  6. Step 6: Final answer
    x = 548.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.