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Finding the Fourth Proportional to 428.10, 591.51 and 381.06

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Solution

The fourth proportional to 428.10, 591.51 and 381.06 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.10 : 591.51 = 381.06 : x
  2. Step 2: Convert to fraction form
    428.10/591.51 = 381.06/x
  3. Step 3: Cross multiply
    428.10x = 591.51 × 381.06
  4. Step 4: Simplify right side
    428.10x = 225,400.80
  5. Step 5: Solve for x
    x = 225,400.80/428.10
  6. Step 6: Final answer
    x = 526.51

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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.