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Finding the Fourth Proportional to 497.73, 745.81 and 314.74

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Solution

The fourth proportional to 497.73, 745.81 and 314.74 is: 471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.73 : 745.81 = 314.74 : x
  2. Step 2: Convert to fraction form
    497.73/745.81 = 314.74/x
  3. Step 3: Cross multiply
    497.73x = 745.81 × 314.74
  4. Step 4: Simplify right side
    497.73x = 234,733.52
  5. Step 5: Solve for x
    x = 234,733.52/497.73
  6. Step 6: Final answer
    x = 471.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.