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Finding the Fourth Proportional to 359.12, 536.02 and 322.40

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Solution

The fourth proportional to 359.12, 536.02 and 322.40 is: 481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.12 : 536.02 = 322.40 : x
  2. Step 2: Convert to fraction form
    359.12/536.02 = 322.40/x
  3. Step 3: Cross multiply
    359.12x = 536.02 × 322.40
  4. Step 4: Simplify right side
    359.12x = 172,812.85
  5. Step 5: Solve for x
    x = 172,812.85/359.12
  6. Step 6: Final answer
    x = 481.21

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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.