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Finding the Fourth Proportional to 556.86, 768.57 and 347.13

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Solution

The fourth proportional to 556.86, 768.57 and 347.13 is: 479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.86 : 768.57 = 347.13 : x
  2. Step 2: Convert to fraction form
    556.86/768.57 = 347.13/x
  3. Step 3: Cross multiply
    556.86x = 768.57 × 347.13
  4. Step 4: Simplify right side
    556.86x = 266,793.70
  5. Step 5: Solve for x
    x = 266,793.70/556.86
  6. Step 6: Final answer
    x = 479.10

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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.