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Finding the Fourth Proportional to 359.08, 495.63 and 260.83

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Solution

The fourth proportional to 359.08, 495.63 and 260.83 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 495.63 = 260.83 : x
  2. Step 2: Convert to fraction form
    359.08/495.63 = 260.83/x
  3. Step 3: Cross multiply
    359.08x = 495.63 × 260.83
  4. Step 4: Simplify right side
    359.08x = 129,275.17
  5. Step 5: Solve for x
    x = 129,275.17/359.08
  6. Step 6: Final answer
    x = 360.02

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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.