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Finding the Fourth Proportional to 435.63, 653.13 and 216.21

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Solution

The fourth proportional to 435.63, 653.13 and 216.21 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.63 : 653.13 = 216.21 : x
  2. Step 2: Convert to fraction form
    435.63/653.13 = 216.21/x
  3. Step 3: Cross multiply
    435.63x = 653.13 × 216.21
  4. Step 4: Simplify right side
    435.63x = 141,213.24
  5. Step 5: Solve for x
    x = 141,213.24/435.63
  6. Step 6: Final answer
    x = 324.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.