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Finding the Fourth Proportional to 553.40, 763.02 and 475.64

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Solution

The fourth proportional to 553.40, 763.02 and 475.64 is: 655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.40 : 763.02 = 475.64 : x
  2. Step 2: Convert to fraction form
    553.40/763.02 = 475.64/x
  3. Step 3: Cross multiply
    553.40x = 763.02 × 475.64
  4. Step 4: Simplify right side
    553.40x = 362,922.83
  5. Step 5: Solve for x
    x = 362,922.83/553.40
  6. Step 6: Final answer
    x = 655.81

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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.