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Finding the Fourth Proportional to 556.80, 768.96 and 459.24

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Solution

The fourth proportional to 556.80, 768.96 and 459.24 is: 634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 768.96 = 459.24 : x
  2. Step 2: Convert to fraction form
    556.80/768.96 = 459.24/x
  3. Step 3: Cross multiply
    556.80x = 768.96 × 459.24
  4. Step 4: Simplify right side
    556.80x = 353,137.19
  5. Step 5: Solve for x
    x = 353,137.19/556.80
  6. Step 6: Final answer
    x = 634.23

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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.