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Finding the Fourth Proportional to 435.59, 653.24 and 127.46

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Solution

The fourth proportional to 435.59, 653.24 and 127.46 is: 191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.59 : 653.24 = 127.46 : x
  2. Step 2: Convert to fraction form
    435.59/653.24 = 127.46/x
  3. Step 3: Cross multiply
    435.59x = 653.24 × 127.46
  4. Step 4: Simplify right side
    435.59x = 83,261.97
  5. Step 5: Solve for x
    x = 83,261.97/435.59
  6. Step 6: Final answer
    x = 191.15

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