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Finding the Fourth Proportional to 506.28, 760.92 and 420.16

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Solution

The fourth proportional to 506.28, 760.92 and 420.16 is: 631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 760.92 = 420.16 : x
  2. Step 2: Convert to fraction form
    506.28/760.92 = 420.16/x
  3. Step 3: Cross multiply
    506.28x = 760.92 × 420.16
  4. Step 4: Simplify right side
    506.28x = 319,708.15
  5. Step 5: Solve for x
    x = 319,708.15/506.28
  6. Step 6: Final answer
    x = 631.48

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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.