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Finding the Fourth Proportional to 919.47, 1,378.43 and 399.08

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Solution

The fourth proportional to 919.47, 1,378.43 and 399.08 is: 598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.47 : 1,378.43 = 399.08 : x
  2. Step 2: Convert to fraction form
    919.47/1,378.43 = 399.08/x
  3. Step 3: Cross multiply
    919.47x = 1,378.43 × 399.08
  4. Step 4: Simplify right side
    919.47x = 550,103.66
  5. Step 5: Solve for x
    x = 550,103.66/919.47
  6. Step 6: Final answer
    x = 598.28

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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.