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Finding the Fourth Proportional to 553.31, 762.68 and 420.10

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Solution

The fourth proportional to 553.31, 762.68 and 420.10 is: 579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.31 : 762.68 = 420.10 : x
  2. Step 2: Convert to fraction form
    553.31/762.68 = 420.10/x
  3. Step 3: Cross multiply
    553.31x = 762.68 × 420.10
  4. Step 4: Simplify right side
    553.31x = 320,401.87
  5. Step 5: Solve for x
    x = 320,401.87/553.31
  6. Step 6: Final answer
    x = 579.06

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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.