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Finding the Fourth Proportional to 551.18, 827.41 and 435.70

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Solution

The fourth proportional to 551.18, 827.41 and 435.70 is: 654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.18 : 827.41 = 435.70 : x
  2. Step 2: Convert to fraction form
    551.18/827.41 = 435.70/x
  3. Step 3: Cross multiply
    551.18x = 827.41 × 435.70
  4. Step 4: Simplify right side
    551.18x = 360,502.54
  5. Step 5: Solve for x
    x = 360,502.54/551.18
  6. Step 6: Final answer
    x = 654.06

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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.