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Finding the Fourth Proportional to 508.04, 761.46 and 447.30

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Solution

The fourth proportional to 508.04, 761.46 and 447.30 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.04 : 761.46 = 447.30 : x
  2. Step 2: Convert to fraction form
    508.04/761.46 = 447.30/x
  3. Step 3: Cross multiply
    508.04x = 761.46 × 447.30
  4. Step 4: Simplify right side
    508.04x = 340,601.06
  5. Step 5: Solve for x
    x = 340,601.06/508.04
  6. Step 6: Final answer
    x = 670.42

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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.