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Finding the Fourth Proportional to 453.95, 677.10 and 440.28

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Solution

The fourth proportional to 453.95, 677.10 and 440.28 is: 656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.95 : 677.10 = 440.28 : x
  2. Step 2: Convert to fraction form
    453.95/677.10 = 440.28/x
  3. Step 3: Cross multiply
    453.95x = 677.10 × 440.28
  4. Step 4: Simplify right side
    453.95x = 298,113.59
  5. Step 5: Solve for x
    x = 298,113.59/453.95
  6. Step 6: Final answer
    x = 656.72

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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.