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Finding the Fourth Proportional to 671.24, 925.07 and 446.77

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Solution

The fourth proportional to 671.24, 925.07 and 446.77 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.24 : 925.07 = 446.77 : x
  2. Step 2: Convert to fraction form
    671.24/925.07 = 446.77/x
  3. Step 3: Cross multiply
    671.24x = 925.07 × 446.77
  4. Step 4: Simplify right side
    671.24x = 413,289.76
  5. Step 5: Solve for x
    x = 413,289.76/671.24
  6. Step 6: Final answer
    x = 615.71

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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.