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Finding the Fourth Proportional to 408.60, 564.33 and 316.46

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Solution

The fourth proportional to 408.60, 564.33 and 316.46 is: 437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 564.33 = 316.46 : x
  2. Step 2: Convert to fraction form
    408.60/564.33 = 316.46/x
  3. Step 3: Cross multiply
    408.60x = 564.33 × 316.46
  4. Step 4: Simplify right side
    408.60x = 178,590.47
  5. Step 5: Solve for x
    x = 178,590.47/408.60
  6. Step 6: Final answer
    x = 437.08

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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.