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Finding the Fourth Proportional to 315.54, 435.29 and 217.35

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Solution

The fourth proportional to 315.54, 435.29 and 217.35 is: 299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.54 : 435.29 = 217.35 : x
  2. Step 2: Convert to fraction form
    315.54/435.29 = 217.35/x
  3. Step 3: Cross multiply
    315.54x = 435.29 × 217.35
  4. Step 4: Simplify right side
    315.54x = 94,609.19
  5. Step 5: Solve for x
    x = 94,609.19/315.54
  6. Step 6: Final answer
    x = 299.83

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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.