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Finding the Fourth Proportional to 332.26, 457.41 and 304.90

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Solution

The fourth proportional to 332.26, 457.41 and 304.90 is: 419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 457.41 = 304.90 : x
  2. Step 2: Convert to fraction form
    332.26/457.41 = 304.90/x
  3. Step 3: Cross multiply
    332.26x = 457.41 × 304.90
  4. Step 4: Simplify right side
    332.26x = 139,464.31
  5. Step 5: Solve for x
    x = 139,464.31/332.26
  6. Step 6: Final answer
    x = 419.74

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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.