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Finding the Fourth Proportional to 454.70, 678.74 and 420.89

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Solution

The fourth proportional to 454.70, 678.74 and 420.89 is: 628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.70 : 678.74 = 420.89 : x
  2. Step 2: Convert to fraction form
    454.70/678.74 = 420.89/x
  3. Step 3: Cross multiply
    454.70x = 678.74 × 420.89
  4. Step 4: Simplify right side
    454.70x = 285,669.38
  5. Step 5: Solve for x
    x = 285,669.38/454.70
  6. Step 6: Final answer
    x = 628.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.