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Finding the Fourth Proportional to 495.71, 743.53 and 130.50

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Solution

The fourth proportional to 495.71, 743.53 and 130.50 is: 195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.71 : 743.53 = 130.50 : x
  2. Step 2: Convert to fraction form
    495.71/743.53 = 130.50/x
  3. Step 3: Cross multiply
    495.71x = 743.53 × 130.50
  4. Step 4: Simplify right side
    495.71x = 97,026.95
  5. Step 5: Solve for x
    x = 97,026.95/495.71
  6. Step 6: Final answer
    x = 195.73

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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.