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Finding the Fourth Proportional to 359.63, 496.20 and 260.19

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Solution

The fourth proportional to 359.63, 496.20 and 260.19 is: 359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.63 : 496.20 = 260.19 : x
  2. Step 2: Convert to fraction form
    359.63/496.20 = 260.19/x
  3. Step 3: Cross multiply
    359.63x = 496.20 × 260.19
  4. Step 4: Simplify right side
    359.63x = 129,107.25
  5. Step 5: Solve for x
    x = 129,107.25/359.63
  6. Step 6: Final answer
    x = 359.00

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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.