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Finding the Fourth Proportional to 555.12, 765.52 and 422.69

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Solution

The fourth proportional to 555.12, 765.52 and 422.69 is: 582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.12 : 765.52 = 422.69 : x
  2. Step 2: Convert to fraction form
    555.12/765.52 = 422.69/x
  3. Step 3: Cross multiply
    555.12x = 765.52 × 422.69
  4. Step 4: Simplify right side
    555.12x = 323,572.76
  5. Step 5: Solve for x
    x = 323,572.76/555.12
  6. Step 6: Final answer
    x = 582.89

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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.