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Finding the Fourth Proportional to 506.65, 760.56 and 287.32

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Solution

The fourth proportional to 506.65, 760.56 and 287.32 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 760.56 = 287.32 : x
  2. Step 2: Convert to fraction form
    506.65/760.56 = 287.32/x
  3. Step 3: Cross multiply
    506.65x = 760.56 × 287.32
  4. Step 4: Simplify right side
    506.65x = 218,524.10
  5. Step 5: Solve for x
    x = 218,524.10/506.65
  6. Step 6: Final answer
    x = 431.31

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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.