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Finding the Fourth Proportional to 566.23, 780.83 and 345.14

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Solution

The fourth proportional to 566.23, 780.83 and 345.14 is: 475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.23 : 780.83 = 345.14 : x
  2. Step 2: Convert to fraction form
    566.23/780.83 = 345.14/x
  3. Step 3: Cross multiply
    566.23x = 780.83 × 345.14
  4. Step 4: Simplify right side
    566.23x = 269,491.58
  5. Step 5: Solve for x
    x = 269,491.58/566.23
  6. Step 6: Final answer
    x = 475.94

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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.