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Finding the Fourth Proportional to 540, 745.44 and 402.24

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Solution

The fourth proportional to 540, 745.44 and 402.24 is: 555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 745.44 = 402.24 : x
  2. Step 2: Convert to fraction form
    540/745.44 = 402.24/x
  3. Step 3: Cross multiply
    540x = 745.44 × 402.24
  4. Step 4: Simplify right side
    540x = 299,845.79
  5. Step 5: Solve for x
    x = 299,845.79/540
  6. Step 6: Final answer
    x = 555.27

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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.