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Finding the Fourth Proportional to 359.58, 496.47 and 297.63

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Solution

The fourth proportional to 359.58, 496.47 and 297.63 is: 410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.58 : 496.47 = 297.63 : x
  2. Step 2: Convert to fraction form
    359.58/496.47 = 297.63/x
  3. Step 3: Cross multiply
    359.58x = 496.47 × 297.63
  4. Step 4: Simplify right side
    359.58x = 147,764.37
  5. Step 5: Solve for x
    x = 147,764.37/359.58
  6. Step 6: Final answer
    x = 410.94

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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.