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Finding the Fourth Proportional to 409.59, 565.49 and 316.19

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Solution

The fourth proportional to 409.59, 565.49 and 316.19 is: 436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.59 : 565.49 = 316.19 : x
  2. Step 2: Convert to fraction form
    409.59/565.49 = 316.19/x
  3. Step 3: Cross multiply
    409.59x = 565.49 × 316.19
  4. Step 4: Simplify right side
    409.59x = 178,802.28
  5. Step 5: Solve for x
    x = 178,802.28/409.59
  6. Step 6: Final answer
    x = 436.54

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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.