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Finding the Fourth Proportional to 589.78, 814.04 and 368.61

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Solution

The fourth proportional to 589.78, 814.04 and 368.61 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 814.04 = 368.61 : x
  2. Step 2: Convert to fraction form
    589.78/814.04 = 368.61/x
  3. Step 3: Cross multiply
    589.78x = 814.04 × 368.61
  4. Step 4: Simplify right side
    589.78x = 300,063.28
  5. Step 5: Solve for x
    x = 300,063.28/589.78
  6. Step 6: Final answer
    x = 508.77

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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.