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Finding the Fourth Proportional to 437.13, 658.83 and 376.98

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Solution

The fourth proportional to 437.13, 658.83 and 376.98 is: 568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.13 : 658.83 = 376.98 : x
  2. Step 2: Convert to fraction form
    437.13/658.83 = 376.98/x
  3. Step 3: Cross multiply
    437.13x = 658.83 × 376.98
  4. Step 4: Simplify right side
    437.13x = 248,365.73
  5. Step 5: Solve for x
    x = 248,365.73/437.13
  6. Step 6: Final answer
    x = 568.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.