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Finding the Fourth Proportional to 359.40, 496.07 and 322.50

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Solution

The fourth proportional to 359.40, 496.07 and 322.50 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.40 : 496.07 = 322.50 : x
  2. Step 2: Convert to fraction form
    359.40/496.07 = 322.50/x
  3. Step 3: Cross multiply
    359.40x = 496.07 × 322.50
  4. Step 4: Simplify right side
    359.40x = 159,980.96
  5. Step 5: Solve for x
    x = 159,980.96/359.40
  6. Step 6: Final answer
    x = 445.13

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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.