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Finding the Fourth Proportional to 460.88, 686.98 and 441.44

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Solution

The fourth proportional to 460.88, 686.98 and 441.44 is: 658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 686.98 = 441.44 : x
  2. Step 2: Convert to fraction form
    460.88/686.98 = 441.44/x
  3. Step 3: Cross multiply
    460.88x = 686.98 × 441.44
  4. Step 4: Simplify right side
    460.88x = 303,260.45
  5. Step 5: Solve for x
    x = 303,260.45/460.88
  6. Step 6: Final answer
    x = 658.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.