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Finding the Fourth Proportional to 359.91, 497.07 and 277.02

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Solution

The fourth proportional to 359.91, 497.07 and 277.02 is: 382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 497.07 = 277.02 : x
  2. Step 2: Convert to fraction form
    359.91/497.07 = 277.02/x
  3. Step 3: Cross multiply
    359.91x = 497.07 × 277.02
  4. Step 4: Simplify right side
    359.91x = 137,698.33
  5. Step 5: Solve for x
    x = 137,698.33/359.91
  6. Step 6: Final answer
    x = 382.59

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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.