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Finding the Fourth Proportional to 506.19, 760.97 and 415.56

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Solution

The fourth proportional to 506.19, 760.97 and 415.56 is: 624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 760.97 = 415.56 : x
  2. Step 2: Convert to fraction form
    506.19/760.97 = 415.56/x
  3. Step 3: Cross multiply
    506.19x = 760.97 × 415.56
  4. Step 4: Simplify right side
    506.19x = 316,226.62
  5. Step 5: Solve for x
    x = 316,226.62/506.19
  6. Step 6: Final answer
    x = 624.72

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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.