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Finding the Fourth Proportional to 390.04, 538.50 and 349

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Solution

The fourth proportional to 390.04, 538.50 and 349 is: 481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.04 : 538.50 = 349 : x
  2. Step 2: Convert to fraction form
    390.04/538.50 = 349/x
  3. Step 3: Cross multiply
    390.04x = 538.50 × 349
  4. Step 4: Simplify right side
    390.04x = 187,936.50
  5. Step 5: Solve for x
    x = 187,936.50/390.04
  6. Step 6: Final answer
    x = 481.84

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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.