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Finding the Fourth Proportional to 551.82, 828.66 and 429.72

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Solution

The fourth proportional to 551.82, 828.66 and 429.72 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.82 : 828.66 = 429.72 : x
  2. Step 2: Convert to fraction form
    551.82/828.66 = 429.72/x
  3. Step 3: Cross multiply
    551.82x = 828.66 × 429.72
  4. Step 4: Simplify right side
    551.82x = 356,091.78
  5. Step 5: Solve for x
    x = 356,091.78/551.82
  6. Step 6: Final answer
    x = 645.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.