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Finding the Fourth Proportional to 359.80, 495.53 and 332.46

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Solution

The fourth proportional to 359.80, 495.53 and 332.46 is: 457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 495.53 = 332.46 : x
  2. Step 2: Convert to fraction form
    359.80/495.53 = 332.46/x
  3. Step 3: Cross multiply
    359.80x = 495.53 × 332.46
  4. Step 4: Simplify right side
    359.80x = 164,744.73
  5. Step 5: Solve for x
    x = 164,744.73/359.80
  6. Step 6: Final answer
    x = 457.88

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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.