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Finding the Fourth Proportional to 553.04, 762.62 and 412.94

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Solution

The fourth proportional to 553.04, 762.62 and 412.94 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.04 : 762.62 = 412.94 : x
  2. Step 2: Convert to fraction form
    553.04/762.62 = 412.94/x
  3. Step 3: Cross multiply
    553.04x = 762.62 × 412.94
  4. Step 4: Simplify right side
    553.04x = 314,910.78
  5. Step 5: Solve for x
    x = 314,910.78/553.04
  6. Step 6: Final answer
    x = 569.42

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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.