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Finding the Fourth Proportional to 359.41, 540.95 and 306.55

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Solution

The fourth proportional to 359.41, 540.95 and 306.55 is: 461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.41 : 540.95 = 306.55 : x
  2. Step 2: Convert to fraction form
    359.41/540.95 = 306.55/x
  3. Step 3: Cross multiply
    359.41x = 540.95 × 306.55
  4. Step 4: Simplify right side
    359.41x = 165,828.22
  5. Step 5: Solve for x
    x = 165,828.22/359.41
  6. Step 6: Final answer
    x = 461.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.