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Finding the Fourth Proportional to 504.80, 756.72 and 180.08

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Solution

The fourth proportional to 504.80, 756.72 and 180.08 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.80 : 756.72 = 180.08 : x
  2. Step 2: Convert to fraction form
    504.80/756.72 = 180.08/x
  3. Step 3: Cross multiply
    504.80x = 756.72 × 180.08
  4. Step 4: Simplify right side
    504.80x = 136,270.14
  5. Step 5: Solve for x
    x = 136,270.14/504.80
  6. Step 6: Final answer
    x = 269.95

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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.