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Finding the Fourth Proportional to 416.44, 575.10 and 343

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Solution

The fourth proportional to 416.44, 575.10 and 343 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 575.10 = 343 : x
  2. Step 2: Convert to fraction form
    416.44/575.10 = 343/x
  3. Step 3: Cross multiply
    416.44x = 575.10 × 343
  4. Step 4: Simplify right side
    416.44x = 197,259.30
  5. Step 5: Solve for x
    x = 197,259.30/416.44
  6. Step 6: Final answer
    x = 473.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.