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Finding the Fourth Proportional to 539.46, 745.61 and 475.47

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Solution

The fourth proportional to 539.46, 745.61 and 475.47 is: 657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.46 : 745.61 = 475.47 : x
  2. Step 2: Convert to fraction form
    539.46/745.61 = 475.47/x
  3. Step 3: Cross multiply
    539.46x = 745.61 × 475.47
  4. Step 4: Simplify right side
    539.46x = 354,512.81
  5. Step 5: Solve for x
    x = 354,512.81/539.46
  6. Step 6: Final answer
    x = 657.16

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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.