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Finding the Fourth Proportional to 589.88, 814.13 and 357.14

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Solution

The fourth proportional to 589.88, 814.13 and 357.14 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 814.13 = 357.14 : x
  2. Step 2: Convert to fraction form
    589.88/814.13 = 357.14/x
  3. Step 3: Cross multiply
    589.88x = 814.13 × 357.14
  4. Step 4: Simplify right side
    589.88x = 290,752.53
  5. Step 5: Solve for x
    x = 290,752.53/589.88
  6. Step 6: Final answer
    x = 492.91

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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.