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Finding the Fourth Proportional to 504.56, 756.96 and 381.54

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Solution

The fourth proportional to 504.56, 756.96 and 381.54 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 756.96 = 381.54 : x
  2. Step 2: Convert to fraction form
    504.56/756.96 = 381.54/x
  3. Step 3: Cross multiply
    504.56x = 756.96 × 381.54
  4. Step 4: Simplify right side
    504.56x = 288,808.61
  5. Step 5: Solve for x
    x = 288,808.61/504.56
  6. Step 6: Final answer
    x = 572.40

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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.