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Finding the Fourth Proportional to 556.80, 766.44 and 492

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Solution

The fourth proportional to 556.80, 766.44 and 492 is: 677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 766.44 = 492 : x
  2. Step 2: Convert to fraction form
    556.80/766.44 = 492/x
  3. Step 3: Cross multiply
    556.80x = 766.44 × 492
  4. Step 4: Simplify right side
    556.80x = 377,088.48
  5. Step 5: Solve for x
    x = 377,088.48/556.80
  6. Step 6: Final answer
    x = 677.24

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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.