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Finding the Fourth Proportional to 589.74, 814.22 and 380.00

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Solution

The fourth proportional to 589.74, 814.22 and 380.00 is: 524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.74 : 814.22 = 380.00 : x
  2. Step 2: Convert to fraction form
    589.74/814.22 = 380.00/x
  3. Step 3: Cross multiply
    589.74x = 814.22 × 380.00
  4. Step 4: Simplify right side
    589.74x = 309,397.63
  5. Step 5: Solve for x
    x = 309,397.63/589.74
  6. Step 6: Final answer
    x = 524.63

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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.