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Finding the Fourth Proportional to 435.34, 653.24 and 253.09

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Solution

The fourth proportional to 435.34, 653.24 and 253.09 is: 379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.34 : 653.24 = 253.09 : x
  2. Step 2: Convert to fraction form
    435.34/653.24 = 253.09/x
  3. Step 3: Cross multiply
    435.34x = 653.24 × 253.09
  4. Step 4: Simplify right side
    435.34x = 165,328.51
  5. Step 5: Solve for x
    x = 165,328.51/435.34
  6. Step 6: Final answer
    x = 379.77

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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.