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Finding the Fourth Proportional to 359.85, 537.47 and 287.49

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Solution

The fourth proportional to 359.85, 537.47 and 287.49 is: 429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.85 : 537.47 = 287.49 : x
  2. Step 2: Convert to fraction form
    359.85/537.47 = 287.49/x
  3. Step 3: Cross multiply
    359.85x = 537.47 × 287.49
  4. Step 4: Simplify right side
    359.85x = 154,517.97
  5. Step 5: Solve for x
    x = 154,517.97/359.85
  6. Step 6: Final answer
    x = 429.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.