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Finding the Fourth Proportional to 435.32, 653.20 and 230

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Solution

The fourth proportional to 435.32, 653.20 and 230 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.32 : 653.20 = 230 : x
  2. Step 2: Convert to fraction form
    435.32/653.20 = 230/x
  3. Step 3: Cross multiply
    435.32x = 653.20 × 230
  4. Step 4: Simplify right side
    435.32x = 150,236
  5. Step 5: Solve for x
    x = 150,236/435.32
  6. Step 6: Final answer
    x = 345.12

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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.