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Finding the Fourth Proportional to 555.14, 766.24 and 378.02

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Solution

The fourth proportional to 555.14, 766.24 and 378.02 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.14 : 766.24 = 378.02 : x
  2. Step 2: Convert to fraction form
    555.14/766.24 = 378.02/x
  3. Step 3: Cross multiply
    555.14x = 766.24 × 378.02
  4. Step 4: Simplify right side
    555.14x = 289,654.04
  5. Step 5: Solve for x
    x = 289,654.04/555.14
  6. Step 6: Final answer
    x = 521.77

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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.