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Finding the Fourth Proportional to 497.67, 745.43 and 314.61

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Solution

The fourth proportional to 497.67, 745.43 and 314.61 is: 471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.67 : 745.43 = 314.61 : x
  2. Step 2: Convert to fraction form
    497.67/745.43 = 314.61/x
  3. Step 3: Cross multiply
    497.67x = 745.43 × 314.61
  4. Step 4: Simplify right side
    497.67x = 234,518.16
  5. Step 5: Solve for x
    x = 234,518.16/497.67
  6. Step 6: Final answer
    x = 471.23

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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.