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Finding the Fourth Proportional to 497.04, 743.52 and 343

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Solution

The fourth proportional to 497.04, 743.52 and 343 is: 513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 743.52 = 343 : x
  2. Step 2: Convert to fraction form
    497.04/743.52 = 343/x
  3. Step 3: Cross multiply
    497.04x = 743.52 × 343
  4. Step 4: Simplify right side
    497.04x = 255,027.36
  5. Step 5: Solve for x
    x = 255,027.36/497.04
  6. Step 6: Final answer
    x = 513.09

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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.