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Finding the Fourth Proportional to 452.44, 679.14 and 290.26

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Solution

The fourth proportional to 452.44, 679.14 and 290.26 is: 435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 679.14 = 290.26 : x
  2. Step 2: Convert to fraction form
    452.44/679.14 = 290.26/x
  3. Step 3: Cross multiply
    452.44x = 679.14 × 290.26
  4. Step 4: Simplify right side
    452.44x = 197,127.18
  5. Step 5: Solve for x
    x = 197,127.18/452.44
  6. Step 6: Final answer
    x = 435.70

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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.