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Finding the Fourth Proportional to 589.80, 814.02 and 357.04

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Solution

The fourth proportional to 589.80, 814.02 and 357.04 is: 492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 814.02 = 357.04 : x
  2. Step 2: Convert to fraction form
    589.80/814.02 = 357.04/x
  3. Step 3: Cross multiply
    589.80x = 814.02 × 357.04
  4. Step 4: Simplify right side
    589.80x = 290,637.70
  5. Step 5: Solve for x
    x = 290,637.70/589.80
  6. Step 6: Final answer
    x = 492.77

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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.