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Finding the Fourth Proportional to 356.98, 534.24 and 301.90

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Solution

The fourth proportional to 356.98, 534.24 and 301.90 is: 451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.98 : 534.24 = 301.90 : x
  2. Step 2: Convert to fraction form
    356.98/534.24 = 301.90/x
  3. Step 3: Cross multiply
    356.98x = 534.24 × 301.90
  4. Step 4: Simplify right side
    356.98x = 161,287.06
  5. Step 5: Solve for x
    x = 161,287.06/356.98
  6. Step 6: Final answer
    x = 451.81

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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.