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Finding the Fourth Proportional to 555.14, 766.20 and 461.78

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Solution

The fourth proportional to 555.14, 766.20 and 461.78 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.14 : 766.20 = 461.78 : x
  2. Step 2: Convert to fraction form
    555.14/766.20 = 461.78/x
  3. Step 3: Cross multiply
    555.14x = 766.20 × 461.78
  4. Step 4: Simplify right side
    555.14x = 353,815.84
  5. Step 5: Solve for x
    x = 353,815.84/555.14
  6. Step 6: Final answer
    x = 637.35

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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.