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Finding the Fourth Proportional to 628.05, 866.55 and 365.91

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Solution

The fourth proportional to 628.05, 866.55 and 365.91 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.05 : 866.55 = 365.91 : x
  2. Step 2: Convert to fraction form
    628.05/866.55 = 365.91/x
  3. Step 3: Cross multiply
    628.05x = 866.55 × 365.91
  4. Step 4: Simplify right side
    628.05x = 317,079.31
  5. Step 5: Solve for x
    x = 317,079.31/628.05
  6. Step 6: Final answer
    x = 504.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.