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Finding the Fourth Proportional to 553.02, 762.27 and 460.07

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Solution

The fourth proportional to 553.02, 762.27 and 460.07 is: 634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 762.27 = 460.07 : x
  2. Step 2: Convert to fraction form
    553.02/762.27 = 460.07/x
  3. Step 3: Cross multiply
    553.02x = 762.27 × 460.07
  4. Step 4: Simplify right side
    553.02x = 350,697.56
  5. Step 5: Solve for x
    x = 350,697.56/553.02
  6. Step 6: Final answer
    x = 634.15

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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.