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Finding the Fourth Proportional to 412.79, 569.70 and 314.37

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Solution

The fourth proportional to 412.79, 569.70 and 314.37 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.79 : 569.70 = 314.37 : x
  2. Step 2: Convert to fraction form
    412.79/569.70 = 314.37/x
  3. Step 3: Cross multiply
    412.79x = 569.70 × 314.37
  4. Step 4: Simplify right side
    412.79x = 179,096.59
  5. Step 5: Solve for x
    x = 179,096.59/412.79
  6. Step 6: Final answer
    x = 433.87

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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.