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Finding the Fourth Proportional to 425.94, 587.43 and 382.74

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Solution

The fourth proportional to 425.94, 587.43 and 382.74 is: 527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.94 : 587.43 = 382.74 : x
  2. Step 2: Convert to fraction form
    425.94/587.43 = 382.74/x
  3. Step 3: Cross multiply
    425.94x = 587.43 × 382.74
  4. Step 4: Simplify right side
    425.94x = 224,832.96
  5. Step 5: Solve for x
    x = 224,832.96/425.94
  6. Step 6: Final answer
    x = 527.85

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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.