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Finding the Fourth Proportional to 504.84, 756.61 and 244.78

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Solution

The fourth proportional to 504.84, 756.61 and 244.78 is: 366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 756.61 = 244.78 : x
  2. Step 2: Convert to fraction form
    504.84/756.61 = 244.78/x
  3. Step 3: Cross multiply
    504.84x = 756.61 × 244.78
  4. Step 4: Simplify right side
    504.84x = 185,203.00
  5. Step 5: Solve for x
    x = 185,203.00/504.84
  6. Step 6: Final answer
    x = 366.85

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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.