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Finding the Fourth Proportional to 557.66, 769.46 and 347.66

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Solution

The fourth proportional to 557.66, 769.46 and 347.66 is: 479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.66 : 769.46 = 347.66 : x
  2. Step 2: Convert to fraction form
    557.66/769.46 = 347.66/x
  3. Step 3: Cross multiply
    557.66x = 769.46 × 347.66
  4. Step 4: Simplify right side
    557.66x = 267,504.88
  5. Step 5: Solve for x
    x = 267,504.88/557.66
  6. Step 6: Final answer
    x = 479.70

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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.