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Finding the Fourth Proportional to 359.58, 537.33 and 293.82

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Solution

The fourth proportional to 359.58, 537.33 and 293.82 is: 439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.58 : 537.33 = 293.82 : x
  2. Step 2: Convert to fraction form
    359.58/537.33 = 293.82/x
  3. Step 3: Cross multiply
    359.58x = 537.33 × 293.82
  4. Step 4: Simplify right side
    359.58x = 157,878.30
  5. Step 5: Solve for x
    x = 157,878.30/359.58
  6. Step 6: Final answer
    x = 439.06

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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.