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Finding the Fourth Proportional to 628.80, 878.40 and 628.80

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Solution

The fourth proportional to 628.80, 878.40 and 628.80 is: 878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.80 : 878.40 = 628.80 : x
  2. Step 2: Convert to fraction form
    628.80/878.40 = 628.80/x
  3. Step 3: Cross multiply
    628.80x = 878.40 × 628.80
  4. Step 4: Simplify right side
    628.80x = 552,337.92
  5. Step 5: Solve for x
    x = 552,337.92/628.80
  6. Step 6: Final answer
    x = 878.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.