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Finding the Fourth Proportional to 913.65, 1,370.32 and 264.23

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Solution

The fourth proportional to 913.65, 1,370.32 and 264.23 is: 396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.65 : 1,370.32 = 264.23 : x
  2. Step 2: Convert to fraction form
    913.65/1,370.32 = 264.23/x
  3. Step 3: Cross multiply
    913.65x = 1,370.32 × 264.23
  4. Step 4: Simplify right side
    913.65x = 362,077.28
  5. Step 5: Solve for x
    x = 362,077.28/913.65
  6. Step 6: Final answer
    x = 396.30

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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.