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Finding the Fourth Proportional to 359.51, 495.16 and 310.30

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Solution

The fourth proportional to 359.51, 495.16 and 310.30 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.51 : 495.16 = 310.30 : x
  2. Step 2: Convert to fraction form
    359.51/495.16 = 310.30/x
  3. Step 3: Cross multiply
    359.51x = 495.16 × 310.30
  4. Step 4: Simplify right side
    359.51x = 153,647.88
  5. Step 5: Solve for x
    x = 153,647.88/359.51
  6. Step 6: Final answer
    x = 427.39

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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.