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Finding the Fourth Proportional to 501.72, 751.92 and 319.04

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Solution

The fourth proportional to 501.72, 751.92 and 319.04 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.72 : 751.92 = 319.04 : x
  2. Step 2: Convert to fraction form
    501.72/751.92 = 319.04/x
  3. Step 3: Cross multiply
    501.72x = 751.92 × 319.04
  4. Step 4: Simplify right side
    501.72x = 239,892.56
  5. Step 5: Solve for x
    x = 239,892.56/501.72
  6. Step 6: Final answer
    x = 478.14

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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.