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Finding the Fourth Proportional to 411.46, 567.33 and 313.05

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Solution

The fourth proportional to 411.46, 567.33 and 313.05 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.46 : 567.33 = 313.05 : x
  2. Step 2: Convert to fraction form
    411.46/567.33 = 313.05/x
  3. Step 3: Cross multiply
    411.46x = 567.33 × 313.05
  4. Step 4: Simplify right side
    411.46x = 177,602.66
  5. Step 5: Solve for x
    x = 177,602.66/411.46
  6. Step 6: Final answer
    x = 431.64

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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.