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Finding the Fourth Proportional to 429.63, 645.34 and 347.46

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Solution

The fourth proportional to 429.63, 645.34 and 347.46 is: 521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.63 : 645.34 = 347.46 : x
  2. Step 2: Convert to fraction form
    429.63/645.34 = 347.46/x
  3. Step 3: Cross multiply
    429.63x = 645.34 × 347.46
  4. Step 4: Simplify right side
    429.63x = 224,224.87
  5. Step 5: Solve for x
    x = 224,224.87/429.63
  6. Step 6: Final answer
    x = 521.90

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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.