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Finding the Fourth Proportional to 453.09, 625.27 and 256.67

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Solution

The fourth proportional to 453.09, 625.27 and 256.67 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.09 : 625.27 = 256.67 : x
  2. Step 2: Convert to fraction form
    453.09/625.27 = 256.67/x
  3. Step 3: Cross multiply
    453.09x = 625.27 × 256.67
  4. Step 4: Simplify right side
    453.09x = 160,487.11
  5. Step 5: Solve for x
    x = 160,487.11/453.09
  6. Step 6: Final answer
    x = 354.20

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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.