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Finding the Fourth Proportional to 334.98, 500.06 and 289.34

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Solution

The fourth proportional to 334.98, 500.06 and 289.34 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.98 : 500.06 = 289.34 : x
  2. Step 2: Convert to fraction form
    334.98/500.06 = 289.34/x
  3. Step 3: Cross multiply
    334.98x = 500.06 × 289.34
  4. Step 4: Simplify right side
    334.98x = 144,687.36
  5. Step 5: Solve for x
    x = 144,687.36/334.98
  6. Step 6: Final answer
    x = 431.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.