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Finding the Fourth Proportional to 628.06, 866.78 and 366.10

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Solution

The fourth proportional to 628.06, 866.78 and 366.10 is: 505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.06 : 866.78 = 366.10 : x
  2. Step 2: Convert to fraction form
    628.06/866.78 = 366.10/x
  3. Step 3: Cross multiply
    628.06x = 866.78 × 366.10
  4. Step 4: Simplify right side
    628.06x = 317,325.14
  5. Step 5: Solve for x
    x = 317,325.14/628.06
  6. Step 6: Final answer
    x = 505.24

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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.