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Finding the Fourth Proportional to 359.16, 496.02 and 277.08

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Solution

The fourth proportional to 359.16, 496.02 and 277.08 is: 382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.16 : 496.02 = 277.08 : x
  2. Step 2: Convert to fraction form
    359.16/496.02 = 277.08/x
  3. Step 3: Cross multiply
    359.16x = 496.02 × 277.08
  4. Step 4: Simplify right side
    359.16x = 137,437.22
  5. Step 5: Solve for x
    x = 137,437.22/359.16
  6. Step 6: Final answer
    x = 382.66

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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.