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Finding the Fourth Proportional to 486.29, 729.44 and 342.65

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Solution

The fourth proportional to 486.29, 729.44 and 342.65 is: 513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.29 : 729.44 = 342.65 : x
  2. Step 2: Convert to fraction form
    486.29/729.44 = 342.65/x
  3. Step 3: Cross multiply
    486.29x = 729.44 × 342.65
  4. Step 4: Simplify right side
    486.29x = 249,942.62
  5. Step 5: Solve for x
    x = 249,942.62/486.29
  6. Step 6: Final answer
    x = 513.98

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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.