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Finding the Fourth Proportional to 412.58, 569.10 and 314.12

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Solution

The fourth proportional to 412.58, 569.10 and 314.12 is: 433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.58 : 569.10 = 314.12 : x
  2. Step 2: Convert to fraction form
    412.58/569.10 = 314.12/x
  3. Step 3: Cross multiply
    412.58x = 569.10 × 314.12
  4. Step 4: Simplify right side
    412.58x = 178,765.69
  5. Step 5: Solve for x
    x = 178,765.69/412.58
  6. Step 6: Final answer
    x = 433.29

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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.