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Finding the Fourth Proportional to 506.52, 761.04 and 301.14

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Solution

The fourth proportional to 506.52, 761.04 and 301.14 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 761.04 = 301.14 : x
  2. Step 2: Convert to fraction form
    506.52/761.04 = 301.14/x
  3. Step 3: Cross multiply
    506.52x = 761.04 × 301.14
  4. Step 4: Simplify right side
    506.52x = 229,179.59
  5. Step 5: Solve for x
    x = 229,179.59/506.52
  6. Step 6: Final answer
    x = 452.46

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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.