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Finding the Fourth Proportional to 435.72, 653.94 and 314.04

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Solution

The fourth proportional to 435.72, 653.94 and 314.04 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.72 : 653.94 = 314.04 : x
  2. Step 2: Convert to fraction form
    435.72/653.94 = 314.04/x
  3. Step 3: Cross multiply
    435.72x = 653.94 × 314.04
  4. Step 4: Simplify right side
    435.72x = 205,363.32
  5. Step 5: Solve for x
    x = 205,363.32/435.72
  6. Step 6: Final answer
    x = 471.32

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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.