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Finding the Fourth Proportional to 412.29, 568.36 and 313.87

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Solution

The fourth proportional to 412.29, 568.36 and 313.87 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 568.36 = 313.87 : x
  2. Step 2: Convert to fraction form
    412.29/568.36 = 313.87/x
  3. Step 3: Cross multiply
    412.29x = 568.36 × 313.87
  4. Step 4: Simplify right side
    412.29x = 178,391.15
  5. Step 5: Solve for x
    x = 178,391.15/412.29
  6. Step 6: Final answer
    x = 432.68

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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.