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Finding the Fourth Proportional to 589.91, 814.10 and 368.84

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Solution

The fourth proportional to 589.91, 814.10 and 368.84 is: 509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.91 : 814.10 = 368.84 : x
  2. Step 2: Convert to fraction form
    589.91/814.10 = 368.84/x
  3. Step 3: Cross multiply
    589.91x = 814.10 × 368.84
  4. Step 4: Simplify right side
    589.91x = 300,266.73
  5. Step 5: Solve for x
    x = 300,266.73/589.91
  6. Step 6: Final answer
    x = 509.01

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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.