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Finding the Fourth Proportional to 532.75, 736.64 and 450.85

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Solution

The fourth proportional to 532.75, 736.64 and 450.85 is: 623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.75 : 736.64 = 450.85 : x
  2. Step 2: Convert to fraction form
    532.75/736.64 = 450.85/x
  3. Step 3: Cross multiply
    532.75x = 736.64 × 450.85
  4. Step 4: Simplify right side
    532.75x = 332,114.14
  5. Step 5: Solve for x
    x = 332,114.14/532.75
  6. Step 6: Final answer
    x = 623.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.