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Finding the Fourth Proportional to 555.25, 765.84 and 389.74

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Solution

The fourth proportional to 555.25, 765.84 and 389.74 is: 537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.25 : 765.84 = 389.74 : x
  2. Step 2: Convert to fraction form
    555.25/765.84 = 389.74/x
  3. Step 3: Cross multiply
    555.25x = 765.84 × 389.74
  4. Step 4: Simplify right side
    555.25x = 298,478.48
  5. Step 5: Solve for x
    x = 298,478.48/555.25
  6. Step 6: Final answer
    x = 537.56

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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.