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Finding the Fourth Proportional to 435.84, 653.44 and 408.32

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Solution

The fourth proportional to 435.84, 653.44 and 408.32 is: 612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 653.44 = 408.32 : x
  2. Step 2: Convert to fraction form
    435.84/653.44 = 408.32/x
  3. Step 3: Cross multiply
    435.84x = 653.44 × 408.32
  4. Step 4: Simplify right side
    435.84x = 266,812.62
  5. Step 5: Solve for x
    x = 266,812.62/435.84
  6. Step 6: Final answer
    x = 612.18

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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.