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Finding the Fourth Proportional to 539.95, 745.06 and 303.86

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Solution

The fourth proportional to 539.95, 745.06 and 303.86 is: 419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.95 : 745.06 = 303.86 : x
  2. Step 2: Convert to fraction form
    539.95/745.06 = 303.86/x
  3. Step 3: Cross multiply
    539.95x = 745.06 × 303.86
  4. Step 4: Simplify right side
    539.95x = 226,393.93
  5. Step 5: Solve for x
    x = 226,393.93/539.95
  6. Step 6: Final answer
    x = 419.29

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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.