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Finding the Fourth Proportional to 416.48, 573.90 and 343.32

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Solution

The fourth proportional to 416.48, 573.90 and 343.32 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 573.90 = 343.32 : x
  2. Step 2: Convert to fraction form
    416.48/573.90 = 343.32/x
  3. Step 3: Cross multiply
    416.48x = 573.90 × 343.32
  4. Step 4: Simplify right side
    416.48x = 197,031.35
  5. Step 5: Solve for x
    x = 197,031.35/416.48
  6. Step 6: Final answer
    x = 473.09

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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.