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Finding the Fourth Proportional to 540.46, 745.85 and 354.07

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Solution

The fourth proportional to 540.46, 745.85 and 354.07 is: 488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.46 : 745.85 = 354.07 : x
  2. Step 2: Convert to fraction form
    540.46/745.85 = 354.07/x
  3. Step 3: Cross multiply
    540.46x = 745.85 × 354.07
  4. Step 4: Simplify right side
    540.46x = 264,083.11
  5. Step 5: Solve for x
    x = 264,083.11/540.46
  6. Step 6: Final answer
    x = 488.63

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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.