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Finding the Fourth Proportional to 550.64, 760.20 and 448.40

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Solution

The fourth proportional to 550.64, 760.20 and 448.40 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 760.20 = 448.40 : x
  2. Step 2: Convert to fraction form
    550.64/760.20 = 448.40/x
  3. Step 3: Cross multiply
    550.64x = 760.20 × 448.40
  4. Step 4: Simplify right side
    550.64x = 340,873.68
  5. Step 5: Solve for x
    x = 340,873.68/550.64
  6. Step 6: Final answer
    x = 619.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.