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Finding the Fourth Proportional to 673.41, 929.29 and 378.71

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Solution

The fourth proportional to 673.41, 929.29 and 378.71 is: 522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.41 : 929.29 = 378.71 : x
  2. Step 2: Convert to fraction form
    673.41/929.29 = 378.71/x
  3. Step 3: Cross multiply
    673.41x = 929.29 × 378.71
  4. Step 4: Simplify right side
    673.41x = 351,924.88
  5. Step 5: Solve for x
    x = 351,924.88/673.41
  6. Step 6: Final answer
    x = 522.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.