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Finding the Fourth Proportional to 435.16, 653.04 and 191.74

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Solution

The fourth proportional to 435.16, 653.04 and 191.74 is: 287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.16 : 653.04 = 191.74 : x
  2. Step 2: Convert to fraction form
    435.16/653.04 = 191.74/x
  3. Step 3: Cross multiply
    435.16x = 653.04 × 191.74
  4. Step 4: Simplify right side
    435.16x = 125,213.89
  5. Step 5: Solve for x
    x = 125,213.89/435.16
  6. Step 6: Final answer
    x = 287.74

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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.