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Finding the Fourth Proportional to 913.36, 1,370.08 and 264.16

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Solution

The fourth proportional to 913.36, 1,370.08 and 264.16 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.36 : 1,370.08 = 264.16 : x
  2. Step 2: Convert to fraction form
    913.36/1,370.08 = 264.16/x
  3. Step 3: Cross multiply
    913.36x = 1,370.08 × 264.16
  4. Step 4: Simplify right side
    913.36x = 361,920.33
  5. Step 5: Solve for x
    x = 361,920.33/913.36
  6. Step 6: Final answer
    x = 396.25

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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.