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Finding the Fourth Proportional to 539.83, 745.08 and 315.86

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Solution

The fourth proportional to 539.83, 745.08 and 315.86 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.83 : 745.08 = 315.86 : x
  2. Step 2: Convert to fraction form
    539.83/745.08 = 315.86/x
  3. Step 3: Cross multiply
    539.83x = 745.08 × 315.86
  4. Step 4: Simplify right side
    539.83x = 235,345.26
  5. Step 5: Solve for x
    x = 235,345.26/539.83
  6. Step 6: Final answer
    x = 435.97

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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.