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Finding the Fourth Proportional to 506.56, 761.12 and 290.32

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Solution

The fourth proportional to 506.56, 761.12 and 290.32 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 761.12 = 290.32 : x
  2. Step 2: Convert to fraction form
    506.56/761.12 = 290.32/x
  3. Step 3: Cross multiply
    506.56x = 761.12 × 290.32
  4. Step 4: Simplify right side
    506.56x = 220,968.36
  5. Step 5: Solve for x
    x = 220,968.36/506.56
  6. Step 6: Final answer
    x = 436.21

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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.