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Finding the Fourth Proportional to 436.18, 654.27 and 414.28

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Solution

The fourth proportional to 436.18, 654.27 and 414.28 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.18 : 654.27 = 414.28 : x
  2. Step 2: Convert to fraction form
    436.18/654.27 = 414.28/x
  3. Step 3: Cross multiply
    436.18x = 654.27 × 414.28
  4. Step 4: Simplify right side
    436.18x = 271,050.35
  5. Step 5: Solve for x
    x = 271,050.35/436.18
  6. Step 6: Final answer
    x = 621.42

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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.