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Finding the Fourth Proportional to 504.71, 756.36 and 366.11

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Solution

The fourth proportional to 504.71, 756.36 and 366.11 is: 548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.71 : 756.36 = 366.11 : x
  2. Step 2: Convert to fraction form
    504.71/756.36 = 366.11/x
  3. Step 3: Cross multiply
    504.71x = 756.36 × 366.11
  4. Step 4: Simplify right side
    504.71x = 276,910.96
  5. Step 5: Solve for x
    x = 276,910.96/504.71
  6. Step 6: Final answer
    x = 548.65

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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.