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Finding the Fourth Proportional to 486.23, 728.53 and 341.69

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Solution

The fourth proportional to 486.23, 728.53 and 341.69 is: 511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.23 : 728.53 = 341.69 : x
  2. Step 2: Convert to fraction form
    486.23/728.53 = 341.69/x
  3. Step 3: Cross multiply
    486.23x = 728.53 × 341.69
  4. Step 4: Simplify right side
    486.23x = 248,926.92
  5. Step 5: Solve for x
    x = 248,926.92/486.23
  6. Step 6: Final answer
    x = 511.96

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