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Finding the Fourth Proportional to 457.17, 684.26 and 414.54

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Solution

The fourth proportional to 457.17, 684.26 and 414.54 is: 620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.17 : 684.26 = 414.54 : x
  2. Step 2: Convert to fraction form
    457.17/684.26 = 414.54/x
  3. Step 3: Cross multiply
    457.17x = 684.26 × 414.54
  4. Step 4: Simplify right side
    457.17x = 283,653.14
  5. Step 5: Solve for x
    x = 283,653.14/457.17
  6. Step 6: Final answer
    x = 620.45

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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.