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Finding the Fourth Proportional to 919.58, 1,378.94 and 334.17

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Solution

The fourth proportional to 919.58, 1,378.94 and 334.17 is: 501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.58 : 1,378.94 = 334.17 : x
  2. Step 2: Convert to fraction form
    919.58/1,378.94 = 334.17/x
  3. Step 3: Cross multiply
    919.58x = 1,378.94 × 334.17
  4. Step 4: Simplify right side
    919.58x = 460,803.17
  5. Step 5: Solve for x
    x = 460,803.17/919.58
  6. Step 6: Final answer
    x = 501.10

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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.