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Finding the Fourth Proportional to 411.50, 566.88 and 313.16

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Solution

The fourth proportional to 411.50, 566.88 and 313.16 is: 431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.50 : 566.88 = 313.16 : x
  2. Step 2: Convert to fraction form
    411.50/566.88 = 313.16/x
  3. Step 3: Cross multiply
    411.50x = 566.88 × 313.16
  4. Step 4: Simplify right side
    411.50x = 177,524.14
  5. Step 5: Solve for x
    x = 177,524.14/411.50
  6. Step 6: Final answer
    x = 431.41

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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.