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Finding the Fourth Proportional to 628.16, 866.50 and 394.88

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Solution

The fourth proportional to 628.16, 866.50 and 394.88 is: 544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 866.50 = 394.88 : x
  2. Step 2: Convert to fraction form
    628.16/866.50 = 394.88/x
  3. Step 3: Cross multiply
    628.16x = 866.50 × 394.88
  4. Step 4: Simplify right side
    628.16x = 342,158.20
  5. Step 5: Solve for x
    x = 342,158.20/628.16
  6. Step 6: Final answer
    x = 544.70

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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.