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Finding the Fourth Proportional to 455.36, 686.37 and 414.35

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Solution

The fourth proportional to 455.36, 686.37 and 414.35 is: 624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 686.37 = 414.35 : x
  2. Step 2: Convert to fraction form
    455.36/686.37 = 414.35/x
  3. Step 3: Cross multiply
    455.36x = 686.37 × 414.35
  4. Step 4: Simplify right side
    455.36x = 284,398.11
  5. Step 5: Solve for x
    x = 284,398.11/455.36
  6. Step 6: Final answer
    x = 624.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.