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Finding the Fourth Proportional to 453.86, 681.68 and 429.34

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Solution

The fourth proportional to 453.86, 681.68 and 429.34 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.86 : 681.68 = 429.34 : x
  2. Step 2: Convert to fraction form
    453.86/681.68 = 429.34/x
  3. Step 3: Cross multiply
    453.86x = 681.68 × 429.34
  4. Step 4: Simplify right side
    453.86x = 292,672.49
  5. Step 5: Solve for x
    x = 292,672.49/453.86
  6. Step 6: Final answer
    x = 644.85

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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.