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Finding the Fourth Proportional to 589.94, 814.35 and 357.06

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Solution

The fourth proportional to 589.94, 814.35 and 357.06 is: 492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.94 : 814.35 = 357.06 : x
  2. Step 2: Convert to fraction form
    589.94/814.35 = 357.06/x
  3. Step 3: Cross multiply
    589.94x = 814.35 × 357.06
  4. Step 4: Simplify right side
    589.94x = 290,771.81
  5. Step 5: Solve for x
    x = 290,771.81/589.94
  6. Step 6: Final answer
    x = 492.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.