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Finding the Fourth Proportional to 553.02, 763.29 and 459.51

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Solution

The fourth proportional to 553.02, 763.29 and 459.51 is: 634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 763.29 = 459.51 : x
  2. Step 2: Convert to fraction form
    553.02/763.29 = 459.51/x
  3. Step 3: Cross multiply
    553.02x = 763.29 × 459.51
  4. Step 4: Simplify right side
    553.02x = 350,739.39
  5. Step 5: Solve for x
    x = 350,739.39/553.02
  6. Step 6: Final answer
    x = 634.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.