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Finding the Fourth Proportional to 557.09, 769.10 and 483.29

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Solution

The fourth proportional to 557.09, 769.10 and 483.29 is: 667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.09 : 769.10 = 483.29 : x
  2. Step 2: Convert to fraction form
    557.09/769.10 = 483.29/x
  3. Step 3: Cross multiply
    557.09x = 769.10 × 483.29
  4. Step 4: Simplify right side
    557.09x = 371,698.34
  5. Step 5: Solve for x
    x = 371,698.34/557.09
  6. Step 6: Final answer
    x = 667.21

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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.