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Finding the Fourth Proportional to 919.04, 1,378.38 and 341.78

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Solution

The fourth proportional to 919.04, 1,378.38 and 341.78 is: 512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.04 : 1,378.38 = 341.78 : x
  2. Step 2: Convert to fraction form
    919.04/1,378.38 = 341.78/x
  3. Step 3: Cross multiply
    919.04x = 1,378.38 × 341.78
  4. Step 4: Simplify right side
    919.04x = 471,102.72
  5. Step 5: Solve for x
    x = 471,102.72/919.04
  6. Step 6: Final answer
    x = 512.60

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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.