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Finding the Fourth Proportional to 452.43, 677.61 and 290.16

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Solution

The fourth proportional to 452.43, 677.61 and 290.16 is: 434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.43 : 677.61 = 290.16 : x
  2. Step 2: Convert to fraction form
    452.43/677.61 = 290.16/x
  3. Step 3: Cross multiply
    452.43x = 677.61 × 290.16
  4. Step 4: Simplify right side
    452.43x = 196,615.32
  5. Step 5: Solve for x
    x = 196,615.32/452.43
  6. Step 6: Final answer
    x = 434.58

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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.