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Finding the Fourth Proportional to 359.24, 540.96 and 314.12

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Solution

The fourth proportional to 359.24, 540.96 and 314.12 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 540.96 = 314.12 : x
  2. Step 2: Convert to fraction form
    359.24/540.96 = 314.12/x
  3. Step 3: Cross multiply
    359.24x = 540.96 × 314.12
  4. Step 4: Simplify right side
    359.24x = 169,926.36
  5. Step 5: Solve for x
    x = 169,926.36/359.24
  6. Step 6: Final answer
    x = 473.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.