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Finding the Fourth Proportional to 435.77, 653.60 and 253.25

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Solution

The fourth proportional to 435.77, 653.60 and 253.25 is: 379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.77 : 653.60 = 253.25 : x
  2. Step 2: Convert to fraction form
    435.77/653.60 = 253.25/x
  3. Step 3: Cross multiply
    435.77x = 653.60 × 253.25
  4. Step 4: Simplify right side
    435.77x = 165,522.93
  5. Step 5: Solve for x
    x = 165,522.93/435.77
  6. Step 6: Final answer
    x = 379.84

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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.