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Finding the Fourth Proportional to 914.10, 1,371.06 and 329.08

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Solution

The fourth proportional to 914.10, 1,371.06 and 329.08 is: 493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,371.06 = 329.08 : x
  2. Step 2: Convert to fraction form
    914.10/1,371.06 = 329.08/x
  3. Step 3: Cross multiply
    914.10x = 1,371.06 × 329.08
  4. Step 4: Simplify right side
    914.10x = 451,182.13
  5. Step 5: Solve for x
    x = 451,182.13/914.10
  6. Step 6: Final answer
    x = 493.58

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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.