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Finding the Fourth Proportional to 416.84, 575.52 and 343.40

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Solution

The fourth proportional to 416.84, 575.52 and 343.40 is: 474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 575.52 = 343.40 : x
  2. Step 2: Convert to fraction form
    416.84/575.52 = 343.40/x
  3. Step 3: Cross multiply
    416.84x = 575.52 × 343.40
  4. Step 4: Simplify right side
    416.84x = 197,633.57
  5. Step 5: Solve for x
    x = 197,633.57/416.84
  6. Step 6: Final answer
    x = 474.12

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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.