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Finding the Fourth Proportional to 363.06, 501.72 and 350.70

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Solution

The fourth proportional to 363.06, 501.72 and 350.70 is: 484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 501.72 = 350.70 : x
  2. Step 2: Convert to fraction form
    363.06/501.72 = 350.70/x
  3. Step 3: Cross multiply
    363.06x = 501.72 × 350.70
  4. Step 4: Simplify right side
    363.06x = 175,953.20
  5. Step 5: Solve for x
    x = 175,953.20/363.06
  6. Step 6: Final answer
    x = 484.64

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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.