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Finding the Fourth Proportional to 359.13, 495.98 and 286.01

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Solution

The fourth proportional to 359.13, 495.98 and 286.01 is: 395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.13 : 495.98 = 286.01 : x
  2. Step 2: Convert to fraction form
    359.13/495.98 = 286.01/x
  3. Step 3: Cross multiply
    359.13x = 495.98 × 286.01
  4. Step 4: Simplify right side
    359.13x = 141,855.24
  5. Step 5: Solve for x
    x = 141,855.24/359.13
  6. Step 6: Final answer
    x = 395.00

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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.