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Finding the Fourth Proportional to 591.61, 816.45 and 343.01

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Solution

The fourth proportional to 591.61, 816.45 and 343.01 is: 473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.61 : 816.45 = 343.01 : x
  2. Step 2: Convert to fraction form
    591.61/816.45 = 343.01/x
  3. Step 3: Cross multiply
    591.61x = 816.45 × 343.01
  4. Step 4: Simplify right side
    591.61x = 280,050.51
  5. Step 5: Solve for x
    x = 280,050.51/591.61
  6. Step 6: Final answer
    x = 473.37

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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.