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Finding the Fourth Proportional to 457.60, 632.41 and 418.42

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Solution

The fourth proportional to 457.60, 632.41 and 418.42 is: 578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.60 : 632.41 = 418.42 : x
  2. Step 2: Convert to fraction form
    457.60/632.41 = 418.42/x
  3. Step 3: Cross multiply
    457.60x = 632.41 × 418.42
  4. Step 4: Simplify right side
    457.60x = 264,609.18
  5. Step 5: Solve for x
    x = 264,609.18/457.60
  6. Step 6: Final answer
    x = 578.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.