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Finding the Fourth Proportional to 349.95, 524.07 and 273.04

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Solution

The fourth proportional to 349.95, 524.07 and 273.04 is: 408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.95 : 524.07 = 273.04 : x
  2. Step 2: Convert to fraction form
    349.95/524.07 = 273.04/x
  3. Step 3: Cross multiply
    349.95x = 524.07 × 273.04
  4. Step 4: Simplify right side
    349.95x = 143,090.76
  5. Step 5: Solve for x
    x = 143,090.76/349.95
  6. Step 6: Final answer
    x = 408.88

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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.