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Finding the Fourth Proportional to 486.69, 729.21 and 349.05

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Solution

The fourth proportional to 486.69, 729.21 and 349.05 is: 522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.69 : 729.21 = 349.05 : x
  2. Step 2: Convert to fraction form
    486.69/729.21 = 349.05/x
  3. Step 3: Cross multiply
    486.69x = 729.21 × 349.05
  4. Step 4: Simplify right side
    486.69x = 254,530.75
  5. Step 5: Solve for x
    x = 254,530.75/486.69
  6. Step 6: Final answer
    x = 522.98

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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.