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Finding the Fourth Proportional to 913.24, 1,370.00 and 288.33

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Solution

The fourth proportional to 913.24, 1,370.00 and 288.33 is: 432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.24 : 1,370.00 = 288.33 : x
  2. Step 2: Convert to fraction form
    913.24/1,370.00 = 288.33/x
  3. Step 3: Cross multiply
    913.24x = 1,370.00 × 288.33
  4. Step 4: Simplify right side
    913.24x = 395,010.32
  5. Step 5: Solve for x
    x = 395,010.32/913.24
  6. Step 6: Final answer
    x = 432.54

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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.