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Finding the Fourth Proportional to 435.76, 653.64 and 123.44

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Solution

The fourth proportional to 435.76, 653.64 and 123.44 is: 185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.76 : 653.64 = 123.44 : x
  2. Step 2: Convert to fraction form
    435.76/653.64 = 123.44/x
  3. Step 3: Cross multiply
    435.76x = 653.64 × 123.44
  4. Step 4: Simplify right side
    435.76x = 80,685.32
  5. Step 5: Solve for x
    x = 80,685.32/435.76
  6. Step 6: Final answer
    x = 185.16

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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.