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Finding the Fourth Proportional to 411.58, 567.72 and 313.12

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Solution

The fourth proportional to 411.58, 567.72 and 313.12 is: 431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.58 : 567.72 = 313.12 : x
  2. Step 2: Convert to fraction form
    411.58/567.72 = 313.12/x
  3. Step 3: Cross multiply
    411.58x = 567.72 × 313.12
  4. Step 4: Simplify right side
    411.58x = 177,764.49
  5. Step 5: Solve for x
    x = 177,764.49/411.58
  6. Step 6: Final answer
    x = 431.91

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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.