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Finding the Fourth Proportional to 913.85, 1,370.55 and 264.44

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Solution

The fourth proportional to 913.85, 1,370.55 and 264.44 is: 396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.85 : 1,370.55 = 264.44 : x
  2. Step 2: Convert to fraction form
    913.85/1,370.55 = 264.44/x
  3. Step 3: Cross multiply
    913.85x = 1,370.55 × 264.44
  4. Step 4: Simplify right side
    913.85x = 362,428.24
  5. Step 5: Solve for x
    x = 362,428.24/913.85
  6. Step 6: Final answer
    x = 396.59

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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.