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Finding the Fourth Proportional to 591.66, 816.51 and 343.07

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Solution

The fourth proportional to 591.66, 816.51 and 343.07 is: 473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 816.51 = 343.07 : x
  2. Step 2: Convert to fraction form
    591.66/816.51 = 343.07/x
  3. Step 3: Cross multiply
    591.66x = 816.51 × 343.07
  4. Step 4: Simplify right side
    591.66x = 280,120.09
  5. Step 5: Solve for x
    x = 280,120.09/591.66
  6. Step 6: Final answer
    x = 473.45

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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.