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Finding the Fourth Proportional to 435.40, 653.94 and 253.16

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Solution

The fourth proportional to 435.40, 653.94 and 253.16 is: 380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 653.94 = 253.16 : x
  2. Step 2: Convert to fraction form
    435.40/653.94 = 253.16/x
  3. Step 3: Cross multiply
    435.40x = 653.94 × 253.16
  4. Step 4: Simplify right side
    435.40x = 165,551.45
  5. Step 5: Solve for x
    x = 165,551.45/435.40
  6. Step 6: Final answer
    x = 380.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.