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Finding the Fourth Proportional to 565.73, 846.98 and 450.35

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Solution

The fourth proportional to 565.73, 846.98 and 450.35 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.73 : 846.98 = 450.35 : x
  2. Step 2: Convert to fraction form
    565.73/846.98 = 450.35/x
  3. Step 3: Cross multiply
    565.73x = 846.98 × 450.35
  4. Step 4: Simplify right side
    565.73x = 381,430.96
  5. Step 5: Solve for x
    x = 381,430.96/565.73
  6. Step 6: Final answer
    x = 674.23

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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.