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Finding the Fourth Proportional to 540.75, 746.23 and 292.07

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Solution

The fourth proportional to 540.75, 746.23 and 292.07 is: 403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.75 : 746.23 = 292.07 : x
  2. Step 2: Convert to fraction form
    540.75/746.23 = 292.07/x
  3. Step 3: Cross multiply
    540.75x = 746.23 × 292.07
  4. Step 4: Simplify right side
    540.75x = 217,947.30
  5. Step 5: Solve for x
    x = 217,947.30/540.75
  6. Step 6: Final answer
    x = 403.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.