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Finding the Fourth Proportional to 539.94, 745.12 and 307.06

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Solution

The fourth proportional to 539.94, 745.12 and 307.06 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.94 : 745.12 = 307.06 : x
  2. Step 2: Convert to fraction form
    539.94/745.12 = 307.06/x
  3. Step 3: Cross multiply
    539.94x = 745.12 × 307.06
  4. Step 4: Simplify right side
    539.94x = 228,796.55
  5. Step 5: Solve for x
    x = 228,796.55/539.94
  6. Step 6: Final answer
    x = 423.74

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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.