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Finding the Fourth Proportional to 557.56, 839.68 and 486.28

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Solution

The fourth proportional to 557.56, 839.68 and 486.28 is: 732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.56 : 839.68 = 486.28 : x
  2. Step 2: Convert to fraction form
    557.56/839.68 = 486.28/x
  3. Step 3: Cross multiply
    557.56x = 839.68 × 486.28
  4. Step 4: Simplify right side
    557.56x = 408,319.59
  5. Step 5: Solve for x
    x = 408,319.59/557.56
  6. Step 6: Final answer
    x = 732.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.