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Finding the Fourth Proportional to 435.12, 653.60 and 332.05

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Solution

The fourth proportional to 435.12, 653.60 and 332.05 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.12 : 653.60 = 332.05 : x
  2. Step 2: Convert to fraction form
    435.12/653.60 = 332.05/x
  3. Step 3: Cross multiply
    435.12x = 653.60 × 332.05
  4. Step 4: Simplify right side
    435.12x = 217,027.88
  5. Step 5: Solve for x
    x = 217,027.88/435.12
  6. Step 6: Final answer
    x = 498.78

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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.