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Finding the Fourth Proportional to 359.32, 495.84 and 211.98

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Solution

The fourth proportional to 359.32, 495.84 and 211.98 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 495.84 = 211.98 : x
  2. Step 2: Convert to fraction form
    359.32/495.84 = 211.98/x
  3. Step 3: Cross multiply
    359.32x = 495.84 × 211.98
  4. Step 4: Simplify right side
    359.32x = 105,108.16
  5. Step 5: Solve for x
    x = 105,108.16/359.32
  6. Step 6: Final answer
    x = 292.52

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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.