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Finding the Fourth Proportional to 508.65, 759.24 and 439.41

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Solution

The fourth proportional to 508.65, 759.24 and 439.41 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.65 : 759.24 = 439.41 : x
  2. Step 2: Convert to fraction form
    508.65/759.24 = 439.41/x
  3. Step 3: Cross multiply
    508.65x = 759.24 × 439.41
  4. Step 4: Simplify right side
    508.65x = 333,617.65
  5. Step 5: Solve for x
    x = 333,617.65/508.65
  6. Step 6: Final answer
    x = 655.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.