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Finding the Fourth Proportional to 359.08, 494.94 and 260.65

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Solution

The fourth proportional to 359.08, 494.94 and 260.65 is: 359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 494.94 = 260.65 : x
  2. Step 2: Convert to fraction form
    359.08/494.94 = 260.65/x
  3. Step 3: Cross multiply
    359.08x = 494.94 × 260.65
  4. Step 4: Simplify right side
    359.08x = 129,006.11
  5. Step 5: Solve for x
    x = 129,006.11/359.08
  6. Step 6: Final answer
    x = 359.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.