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Finding the Fourth Proportional to 504.76, 756.96 and 175.66

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Solution

The fourth proportional to 504.76, 756.96 and 175.66 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.76 : 756.96 = 175.66 : x
  2. Step 2: Convert to fraction form
    504.76/756.96 = 175.66/x
  3. Step 3: Cross multiply
    504.76x = 756.96 × 175.66
  4. Step 4: Simplify right side
    504.76x = 132,967.59
  5. Step 5: Solve for x
    x = 132,967.59/504.76
  6. Step 6: Final answer
    x = 263.43

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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.