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Finding the Fourth Proportional to 557.16, 769.59 and 483.45

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Solution

The fourth proportional to 557.16, 769.59 and 483.45 is: 667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 769.59 = 483.45 : x
  2. Step 2: Convert to fraction form
    557.16/769.59 = 483.45/x
  3. Step 3: Cross multiply
    557.16x = 769.59 × 483.45
  4. Step 4: Simplify right side
    557.16x = 372,058.29
  5. Step 5: Solve for x
    x = 372,058.29/557.16
  6. Step 6: Final answer
    x = 667.78

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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.