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Finding the Fourth Proportional to 359.82, 536.58 and 320.46

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Solution

The fourth proportional to 359.82, 536.58 and 320.46 is: 477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 536.58 = 320.46 : x
  2. Step 2: Convert to fraction form
    359.82/536.58 = 320.46/x
  3. Step 3: Cross multiply
    359.82x = 536.58 × 320.46
  4. Step 4: Simplify right side
    359.82x = 171,952.43
  5. Step 5: Solve for x
    x = 171,952.43/359.82
  6. Step 6: Final answer
    x = 477.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.