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Finding the Fourth Proportional to 589.70, 814.01 and 368.71

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Solution

The fourth proportional to 589.70, 814.01 and 368.71 is: 508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.70 : 814.01 = 368.71 : x
  2. Step 2: Convert to fraction form
    589.70/814.01 = 368.71/x
  3. Step 3: Cross multiply
    589.70x = 814.01 × 368.71
  4. Step 4: Simplify right side
    589.70x = 300,133.63
  5. Step 5: Solve for x
    x = 300,133.63/589.70
  6. Step 6: Final answer
    x = 508.96

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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.