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Finding the Fourth Proportional to 500.84, 751.53 and 379.07

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Solution

The fourth proportional to 500.84, 751.53 and 379.07 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 751.53 = 379.07 : x
  2. Step 2: Convert to fraction form
    500.84/751.53 = 379.07/x
  3. Step 3: Cross multiply
    500.84x = 751.53 × 379.07
  4. Step 4: Simplify right side
    500.84x = 284,882.48
  5. Step 5: Solve for x
    x = 284,882.48/500.84
  6. Step 6: Final answer
    x = 568.81

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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.