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Finding the Fourth Proportional to 651.23, 898.42 and 454.85

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Solution

The fourth proportional to 651.23, 898.42 and 454.85 is: 627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.23 : 898.42 = 454.85 : x
  2. Step 2: Convert to fraction form
    651.23/898.42 = 454.85/x
  3. Step 3: Cross multiply
    651.23x = 898.42 × 454.85
  4. Step 4: Simplify right side
    651.23x = 408,646.34
  5. Step 5: Solve for x
    x = 408,646.34/651.23
  6. Step 6: Final answer
    x = 627.50

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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.