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Finding the Fourth Proportional to 568.11, 783.83 and 346.83

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Solution

The fourth proportional to 568.11, 783.83 and 346.83 is: 478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.11 : 783.83 = 346.83 : x
  2. Step 2: Convert to fraction form
    568.11/783.83 = 346.83/x
  3. Step 3: Cross multiply
    568.11x = 783.83 × 346.83
  4. Step 4: Simplify right side
    568.11x = 271,856.14
  5. Step 5: Solve for x
    x = 271,856.14/568.11
  6. Step 6: Final answer
    x = 478.52

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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.