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Finding the Fourth Proportional to 495.40, 743.10 and 491.80

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Solution

The fourth proportional to 495.40, 743.10 and 491.80 is: 737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 743.10 = 491.80 : x
  2. Step 2: Convert to fraction form
    495.40/743.10 = 491.80/x
  3. Step 3: Cross multiply
    495.40x = 743.10 × 491.80
  4. Step 4: Simplify right side
    495.40x = 365,456.58
  5. Step 5: Solve for x
    x = 365,456.58/495.40
  6. Step 6: Final answer
    x = 737.70

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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.