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Finding the Fourth Proportional to 504.80, 757.13 and 175.67

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Solution

The fourth proportional to 504.80, 757.13 and 175.67 is: 263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.80 : 757.13 = 175.67 : x
  2. Step 2: Convert to fraction form
    504.80/757.13 = 175.67/x
  3. Step 3: Cross multiply
    504.80x = 757.13 × 175.67
  4. Step 4: Simplify right side
    504.80x = 133,005.03
  5. Step 5: Solve for x
    x = 133,005.03/504.80
  6. Step 6: Final answer
    x = 263.48

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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.