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Finding the Fourth Proportional to 914.36, 1,371.65 and 297.90

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Solution

The fourth proportional to 914.36, 1,371.65 and 297.90 is: 446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.36 : 1,371.65 = 297.90 : x
  2. Step 2: Convert to fraction form
    914.36/1,371.65 = 297.90/x
  3. Step 3: Cross multiply
    914.36x = 1,371.65 × 297.90
  4. Step 4: Simplify right side
    914.36x = 408,615.28
  5. Step 5: Solve for x
    x = 408,615.28/914.36
  6. Step 6: Final answer
    x = 446.89

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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.