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Finding the Fourth Proportional to 506.98, 760.92 and 290.26

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Solution

The fourth proportional to 506.98, 760.92 and 290.26 is: 435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.98 : 760.92 = 290.26 : x
  2. Step 2: Convert to fraction form
    506.98/760.92 = 290.26/x
  3. Step 3: Cross multiply
    506.98x = 760.92 × 290.26
  4. Step 4: Simplify right side
    506.98x = 220,864.64
  5. Step 5: Solve for x
    x = 220,864.64/506.98
  6. Step 6: Final answer
    x = 435.65

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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.