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Finding the Fourth Proportional to 409.60, 564.96 and 357.76

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Solution

The fourth proportional to 409.60, 564.96 and 357.76 is: 493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 564.96 = 357.76 : x
  2. Step 2: Convert to fraction form
    409.60/564.96 = 357.76/x
  3. Step 3: Cross multiply
    409.60x = 564.96 × 357.76
  4. Step 4: Simplify right side
    409.60x = 202,120.09
  5. Step 5: Solve for x
    x = 202,120.09/409.60
  6. Step 6: Final answer
    x = 493.46

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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.