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Finding the Fourth Proportional to 425.32, 637.98 and 286.56

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Solution

The fourth proportional to 425.32, 637.98 and 286.56 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.32 : 637.98 = 286.56 : x
  2. Step 2: Convert to fraction form
    425.32/637.98 = 286.56/x
  3. Step 3: Cross multiply
    425.32x = 637.98 × 286.56
  4. Step 4: Simplify right side
    425.32x = 182,819.55
  5. Step 5: Solve for x
    x = 182,819.55/425.32
  6. Step 6: Final answer
    x = 429.84

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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.