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Finding the Fourth Proportional to 566.96, 782.39 and 346.28

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Solution

The fourth proportional to 566.96, 782.39 and 346.28 is: 477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 782.39 = 346.28 : x
  2. Step 2: Convert to fraction form
    566.96/782.39 = 346.28/x
  3. Step 3: Cross multiply
    566.96x = 782.39 × 346.28
  4. Step 4: Simplify right side
    566.96x = 270,924.28
  5. Step 5: Solve for x
    x = 270,924.28/566.96
  6. Step 6: Final answer
    x = 477.85

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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.