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Finding the Fourth Proportional to 508.94, 761.91 and 379.51

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Solution

The fourth proportional to 508.94, 761.91 and 379.51 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.94 : 761.91 = 379.51 : x
  2. Step 2: Convert to fraction form
    508.94/761.91 = 379.51/x
  3. Step 3: Cross multiply
    508.94x = 761.91 × 379.51
  4. Step 4: Simplify right side
    508.94x = 289,149.14
  5. Step 5: Solve for x
    x = 289,149.14/508.94
  6. Step 6: Final answer
    x = 568.14

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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.