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Finding the Fourth Proportional to 506.32, 759.66 and 286.84

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Solution

The fourth proportional to 506.32, 759.66 and 286.84 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 759.66 = 286.84 : x
  2. Step 2: Convert to fraction form
    506.32/759.66 = 286.84/x
  3. Step 3: Cross multiply
    506.32x = 759.66 × 286.84
  4. Step 4: Simplify right side
    506.32x = 217,900.87
  5. Step 5: Solve for x
    x = 217,900.87/506.32
  6. Step 6: Final answer
    x = 430.36

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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.