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Finding the Fourth Proportional to 506.91, 759.29 and 470.19

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Solution

The fourth proportional to 506.91, 759.29 and 470.19 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.91 : 759.29 = 470.19 : x
  2. Step 2: Convert to fraction form
    506.91/759.29 = 470.19/x
  3. Step 3: Cross multiply
    506.91x = 759.29 × 470.19
  4. Step 4: Simplify right side
    506.91x = 357,008.21
  5. Step 5: Solve for x
    x = 357,008.21/506.91
  6. Step 6: Final answer
    x = 704.28

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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.