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Finding the Fourth Proportional to 435.62, 653.34 and 328.16

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Solution

The fourth proportional to 435.62, 653.34 and 328.16 is: 492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.62 : 653.34 = 328.16 : x
  2. Step 2: Convert to fraction form
    435.62/653.34 = 328.16/x
  3. Step 3: Cross multiply
    435.62x = 653.34 × 328.16
  4. Step 4: Simplify right side
    435.62x = 214,400.05
  5. Step 5: Solve for x
    x = 214,400.05/435.62
  6. Step 6: Final answer
    x = 492.17

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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.