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Finding the Fourth Proportional to 914.29, 1,371.84 and 427.30

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Solution

The fourth proportional to 914.29, 1,371.84 and 427.30 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.29 : 1,371.84 = 427.30 : x
  2. Step 2: Convert to fraction form
    914.29/1,371.84 = 427.30/x
  3. Step 3: Cross multiply
    914.29x = 1,371.84 × 427.30
  4. Step 4: Simplify right side
    914.29x = 586,187.23
  5. Step 5: Solve for x
    x = 586,187.23/914.29
  6. Step 6: Final answer
    x = 641.14

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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.