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Finding the Fourth Proportional to 497.92, 744.64 and 335.36

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Solution

The fourth proportional to 497.92, 744.64 and 335.36 is: 501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 744.64 = 335.36 : x
  2. Step 2: Convert to fraction form
    497.92/744.64 = 335.36/x
  3. Step 3: Cross multiply
    497.92x = 744.64 × 335.36
  4. Step 4: Simplify right side
    497.92x = 249,722.47
  5. Step 5: Solve for x
    x = 249,722.47/497.92
  6. Step 6: Final answer
    x = 501.53

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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.