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Finding the Fourth Proportional to 484.02, 725.94 and 175.86

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Solution

The fourth proportional to 484.02, 725.94 and 175.86 is: 263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 725.94 = 175.86 : x
  2. Step 2: Convert to fraction form
    484.02/725.94 = 175.86/x
  3. Step 3: Cross multiply
    484.02x = 725.94 × 175.86
  4. Step 4: Simplify right side
    484.02x = 127,663.81
  5. Step 5: Solve for x
    x = 127,663.81/484.02
  6. Step 6: Final answer
    x = 263.76

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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.