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Finding the Fourth Proportional to 409.58, 565.25 and 291.59

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Solution

The fourth proportional to 409.58, 565.25 and 291.59 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.58 : 565.25 = 291.59 : x
  2. Step 2: Convert to fraction form
    409.58/565.25 = 291.59/x
  3. Step 3: Cross multiply
    409.58x = 565.25 × 291.59
  4. Step 4: Simplify right side
    409.58x = 164,819.79
  5. Step 5: Solve for x
    x = 164,819.79/409.58
  6. Step 6: Final answer
    x = 402.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.