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Finding the Fourth Proportional to 358.56, 536.76 and 343.80

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Solution

The fourth proportional to 358.56, 536.76 and 343.80 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 536.76 = 343.80 : x
  2. Step 2: Convert to fraction form
    358.56/536.76 = 343.80/x
  3. Step 3: Cross multiply
    358.56x = 536.76 × 343.80
  4. Step 4: Simplify right side
    358.56x = 184,538.09
  5. Step 5: Solve for x
    x = 184,538.09/358.56
  6. Step 6: Final answer
    x = 514.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.