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Finding the Fourth Proportional to 452.90, 679.35 and 331.40

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Solution

The fourth proportional to 452.90, 679.35 and 331.40 is: 497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.90 : 679.35 = 331.40 : x
  2. Step 2: Convert to fraction form
    452.90/679.35 = 331.40/x
  3. Step 3: Cross multiply
    452.90x = 679.35 × 331.40
  4. Step 4: Simplify right side
    452.90x = 225,136.59
  5. Step 5: Solve for x
    x = 225,136.59/452.90
  6. Step 6: Final answer
    x = 497.10

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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.