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Finding the Fourth Proportional to 435.29, 653.01 and 127.13

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Solution

The fourth proportional to 435.29, 653.01 and 127.13 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.29 : 653.01 = 127.13 : x
  2. Step 2: Convert to fraction form
    435.29/653.01 = 127.13/x
  3. Step 3: Cross multiply
    435.29x = 653.01 × 127.13
  4. Step 4: Simplify right side
    435.29x = 83,013.90
  5. Step 5: Solve for x
    x = 83,013.90/435.29
  6. Step 6: Final answer
    x = 190.71

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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.