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Finding the Fourth Proportional to 429.89, 643.70 and 342.65

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Solution

The fourth proportional to 429.89, 643.70 and 342.65 is: 513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.89 : 643.70 = 342.65 : x
  2. Step 2: Convert to fraction form
    429.89/643.70 = 342.65/x
  3. Step 3: Cross multiply
    429.89x = 643.70 × 342.65
  4. Step 4: Simplify right side
    429.89x = 220,558.87
  5. Step 5: Solve for x
    x = 220,558.87/429.89
  6. Step 6: Final answer
    x = 513.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.