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Finding the Fourth Proportional to 315.65, 435.43 and 217.23

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Solution

The fourth proportional to 315.65, 435.43 and 217.23 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.65 : 435.43 = 217.23 : x
  2. Step 2: Convert to fraction form
    315.65/435.43 = 217.23/x
  3. Step 3: Cross multiply
    315.65x = 435.43 × 217.23
  4. Step 4: Simplify right side
    315.65x = 94,588.32
  5. Step 5: Solve for x
    x = 94,588.32/315.65
  6. Step 6: Final answer
    x = 299.67

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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.