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Finding the Fourth Proportional to 504.47, 756.61 and 179.78

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Solution

The fourth proportional to 504.47, 756.61 and 179.78 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.47 : 756.61 = 179.78 : x
  2. Step 2: Convert to fraction form
    504.47/756.61 = 179.78/x
  3. Step 3: Cross multiply
    504.47x = 756.61 × 179.78
  4. Step 4: Simplify right side
    504.47x = 136,019.11
  5. Step 5: Solve for x
    x = 136,019.11/504.47
  6. Step 6: Final answer
    x = 269.63

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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.