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Finding the Fourth Proportional to 497.38, 745.62 and 456.38

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Solution

The fourth proportional to 497.38, 745.62 and 456.38 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.38 : 745.62 = 456.38 : x
  2. Step 2: Convert to fraction form
    497.38/745.62 = 456.38/x
  3. Step 3: Cross multiply
    497.38x = 745.62 × 456.38
  4. Step 4: Simplify right side
    497.38x = 340,286.06
  5. Step 5: Solve for x
    x = 340,286.06/497.38
  6. Step 6: Final answer
    x = 684.16

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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.