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Finding the Fourth Proportional to 497.92, 745.60 and 454.40

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Solution

The fourth proportional to 497.92, 745.60 and 454.40 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 745.60 = 454.40 : x
  2. Step 2: Convert to fraction form
    497.92/745.60 = 454.40/x
  3. Step 3: Cross multiply
    497.92x = 745.60 × 454.40
  4. Step 4: Simplify right side
    497.92x = 338,800.64
  5. Step 5: Solve for x
    x = 338,800.64/497.92
  6. Step 6: Final answer
    x = 680.43

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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.