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Finding the Fourth Proportional to 505.91, 759.13 and 286.79

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Solution

The fourth proportional to 505.91, 759.13 and 286.79 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.91 : 759.13 = 286.79 : x
  2. Step 2: Convert to fraction form
    505.91/759.13 = 286.79/x
  3. Step 3: Cross multiply
    505.91x = 759.13 × 286.79
  4. Step 4: Simplify right side
    505.91x = 217,706.38
  5. Step 5: Solve for x
    x = 217,706.38/505.91
  6. Step 6: Final answer
    x = 430.32

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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.