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Finding the Fourth Proportional to 495.80, 743.47 and 290.42

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Solution

The fourth proportional to 495.80, 743.47 and 290.42 is: 435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.80 : 743.47 = 290.42 : x
  2. Step 2: Convert to fraction form
    495.80/743.47 = 290.42/x
  3. Step 3: Cross multiply
    495.80x = 743.47 × 290.42
  4. Step 4: Simplify right side
    495.80x = 215,919.63
  5. Step 5: Solve for x
    x = 215,919.63/495.80
  6. Step 6: Final answer
    x = 435.50

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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.