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Finding the Fourth Proportional to 314.10, 433.50 and 261.57

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Solution

The fourth proportional to 314.10, 433.50 and 261.57 is: 361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 433.50 = 261.57 : x
  2. Step 2: Convert to fraction form
    314.10/433.50 = 261.57/x
  3. Step 3: Cross multiply
    314.10x = 433.50 × 261.57
  4. Step 4: Simplify right side
    314.10x = 113,390.27
  5. Step 5: Solve for x
    x = 113,390.27/314.10
  6. Step 6: Final answer
    x = 361.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.