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Finding the Fourth Proportional to 506.21, 759.56 and 287.08

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Solution

The fourth proportional to 506.21, 759.56 and 287.08 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.21 : 759.56 = 287.08 : x
  2. Step 2: Convert to fraction form
    506.21/759.56 = 287.08/x
  3. Step 3: Cross multiply
    506.21x = 759.56 × 287.08
  4. Step 4: Simplify right side
    506.21x = 218,051.15
  5. Step 5: Solve for x
    x = 218,051.15/506.21
  6. Step 6: Final answer
    x = 430.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.