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Finding the Fourth Proportional to 359.54, 495.66 and 286.10

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Solution

The fourth proportional to 359.54, 495.66 and 286.10 is: 394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.54 : 495.66 = 286.10 : x
  2. Step 2: Convert to fraction form
    359.54/495.66 = 286.10/x
  3. Step 3: Cross multiply
    359.54x = 495.66 × 286.10
  4. Step 4: Simplify right side
    359.54x = 141,808.33
  5. Step 5: Solve for x
    x = 141,808.33/359.54
  6. Step 6: Final answer
    x = 394.42

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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.