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Finding the Fourth Proportional to 555.19, 766.56 and 408.04

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Solution

The fourth proportional to 555.19, 766.56 and 408.04 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.19 : 766.56 = 408.04 : x
  2. Step 2: Convert to fraction form
    555.19/766.56 = 408.04/x
  3. Step 3: Cross multiply
    555.19x = 766.56 × 408.04
  4. Step 4: Simplify right side
    555.19x = 312,786.76
  5. Step 5: Solve for x
    x = 312,786.76/555.19
  6. Step 6: Final answer
    x = 563.39

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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.