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Finding the Fourth Proportional to 919.16, 1,378.80 and 341.84

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Solution

The fourth proportional to 919.16, 1,378.80 and 341.84 is: 512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.16 : 1,378.80 = 341.84 : x
  2. Step 2: Convert to fraction form
    919.16/1,378.80 = 341.84/x
  3. Step 3: Cross multiply
    919.16x = 1,378.80 × 341.84
  4. Step 4: Simplify right side
    919.16x = 471,328.99
  5. Step 5: Solve for x
    x = 471,328.99/919.16
  6. Step 6: Final answer
    x = 512.78

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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.