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Finding the Fourth Proportional to 904.24, 1,356.56 and 349.03

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Solution

The fourth proportional to 904.24, 1,356.56 and 349.03 is: 523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.24 : 1,356.56 = 349.03 : x
  2. Step 2: Convert to fraction form
    904.24/1,356.56 = 349.03/x
  3. Step 3: Cross multiply
    904.24x = 1,356.56 × 349.03
  4. Step 4: Simplify right side
    904.24x = 473,475.73
  5. Step 5: Solve for x
    x = 473,475.73/904.24
  6. Step 6: Final answer
    x = 523.62

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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.