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Finding the Fourth Proportional to 553.16, 763.08 and 421.94

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Solution

The fourth proportional to 553.16, 763.08 and 421.94 is: 582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 763.08 = 421.94 : x
  2. Step 2: Convert to fraction form
    553.16/763.08 = 421.94/x
  3. Step 3: Cross multiply
    553.16x = 763.08 × 421.94
  4. Step 4: Simplify right side
    553.16x = 321,973.98
  5. Step 5: Solve for x
    x = 321,973.98/553.16
  6. Step 6: Final answer
    x = 582.06

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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.