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Finding the Fourth Proportional to 555.06, 765.76 and 397.70

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Solution

The fourth proportional to 555.06, 765.76 and 397.70 is: 548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.06 : 765.76 = 397.70 : x
  2. Step 2: Convert to fraction form
    555.06/765.76 = 397.70/x
  3. Step 3: Cross multiply
    555.06x = 765.76 × 397.70
  4. Step 4: Simplify right side
    555.06x = 304,542.75
  5. Step 5: Solve for x
    x = 304,542.75/555.06
  6. Step 6: Final answer
    x = 548.67

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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.