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Finding the Fourth Proportional to 497.12, 745.87 and 456.75

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Solution

The fourth proportional to 497.12, 745.87 and 456.75 is: 685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 745.87 = 456.75 : x
  2. Step 2: Convert to fraction form
    497.12/745.87 = 456.75/x
  3. Step 3: Cross multiply
    497.12x = 745.87 × 456.75
  4. Step 4: Simplify right side
    497.12x = 340,678.56
  5. Step 5: Solve for x
    x = 340,678.56/497.12
  6. Step 6: Final answer
    x = 685.31

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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.