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Finding the Fourth Proportional to 475.83, 712.53 and 345.33

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Solution

The fourth proportional to 475.83, 712.53 and 345.33 is: 517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.83 : 712.53 = 345.33 : x
  2. Step 2: Convert to fraction form
    475.83/712.53 = 345.33/x
  3. Step 3: Cross multiply
    475.83x = 712.53 × 345.33
  4. Step 4: Simplify right side
    475.83x = 246,057.98
  5. Step 5: Solve for x
    x = 246,057.98/475.83
  6. Step 6: Final answer
    x = 517.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.