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Finding the Fourth Proportional to 589.96, 814.62 and 403.84

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Solution

The fourth proportional to 589.96, 814.62 and 403.84 is: 557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 814.62 = 403.84 : x
  2. Step 2: Convert to fraction form
    589.96/814.62 = 403.84/x
  3. Step 3: Cross multiply
    589.96x = 814.62 × 403.84
  4. Step 4: Simplify right side
    589.96x = 328,976.14
  5. Step 5: Solve for x
    x = 328,976.14/589.96
  6. Step 6: Final answer
    x = 557.62

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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.