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Finding the Fourth Proportional to 913.68, 1,370.25 and 264.48

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Solution

The fourth proportional to 913.68, 1,370.25 and 264.48 is: 396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.68 : 1,370.25 = 264.48 : x
  2. Step 2: Convert to fraction form
    913.68/1,370.25 = 264.48/x
  3. Step 3: Cross multiply
    913.68x = 1,370.25 × 264.48
  4. Step 4: Simplify right side
    913.68x = 362,403.72
  5. Step 5: Solve for x
    x = 362,403.72/913.68
  6. Step 6: Final answer
    x = 396.64

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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.