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Finding the Fourth Proportional to 497.21, 745.74 and 314.05

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Solution

The fourth proportional to 497.21, 745.74 and 314.05 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.21 : 745.74 = 314.05 : x
  2. Step 2: Convert to fraction form
    497.21/745.74 = 314.05/x
  3. Step 3: Cross multiply
    497.21x = 745.74 × 314.05
  4. Step 4: Simplify right side
    497.21x = 234,199.65
  5. Step 5: Solve for x
    x = 234,199.65/497.21
  6. Step 6: Final answer
    x = 471.03

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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.